Simplify: (3x + y)^3 + (3x - y)^3​

Answers

Answer 1

Answer:

54x^3+18xy^2

Step-by-step explanation:

1.) Expand the Expressions

(3x + y)^3 + (3x - y)^3​  =====> 27x^3 + 27x^2y + 9xy^2 + y^3 + 27x^3 - 27x^2y + 9xy^2 - y^3

2.) Remove/Cancel out Opposites

27x^3 + 9xy^2 + 27x^3 + 9xy^2

3.) Collect like terms

27x^3 + 9xy^2 + 27x^3 + 9xy^2

54x^3 + 9xy^2 + 9xy^2

54x^3 + 18xy^2

Formulas used :

(a+b)^3 = a^3  + 3a^2b + 3ab^2 +b^3 (step 1)

Thank You!!! Plzz mark brainliest

Answer 2

Answer:

54x^3 +18xy^2

Step-by-step explanation:

See the steps below:)

Simplify: (3x + Y)^3 + (3x - Y)^3

Related Questions

what number completes the square x^2+18x+_____
(a).81
(b) .324
(c) .-9
(d).9

Answers

Step-by-step explanation:

a) 81 is the answer of your question

hope it is helpful to you

(a+b)^2= a^2 +2ab+b^2

First you divide 18 by 2 which equals to 9

To complete the square multiply that number by itself
9^2=81

So the correct choice is A

What is 615.75 rounded to the nearest hundredth?

Answers

Answer:

615.75

Step-by-step explanation:

Derek reads at a rate of 25 words per minute. If he reads constantly until he is finished how long would it take him to read a 225 word article?

Answers

Answer:

9

Step-by-step explanation:

if you divide 225 by 25 u get 9

Answer:

225/25 = 9

Step-by-step explanation:

took the test

Want two numbers multiply to get -30 and add to get -13

Answers

Answer:

-15 and 2

Step-by-step explanation:

-15 x 2 = -30

-15 + 2 = -13

Find the degree of the polynomial below.
9x2 – 25

Answers

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex] {9x}^{2} - 25[/tex]

✏ Degree is the highest value of the exponent in the polynomial. In this polynomial 2 is the degree of the polynomial.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

9x² - 25

2 is the degree of the polynomial.

Two functions are given below. How do they compare?
f(x) = -3x + 1
g(x) = -3x + 4
a) f(x) is less steep than g(x)
b) f(x) has the same y-intercept as g(x)
c) f(x) is translated 3 units down from g(x)
d) f(x) is translated 3 units up from g(x)

Answers

Answer:

I'm pretty sure the answer is D

solve for n:

4n-40=7(-2n+2)

Answers

Step-by-step explanation:

hope this helped you :)) !!

Carson's wheelbarrow can hold 345 pounds. He has p pounds of rocks in his wheelbarrow. Write the inequality to represent this situation:__
plsssssss help!!!!!!!!!!!!!!!!!!1

Answers

Answer:

umm

Step-by-step explanation:

The maximum number of pounds p is 224

Step-by-step explanation:

Let

p ----> the maximum number of pounds he can pull without going over the weight limit

we know that

121 pound of rock in the wheelbarrow plus p pounds must be at most 345 pounds

In this problem the word "at most" means "less than or equal to"

so

The inequality that represent this situation is

solve for p

subtract 121 both sides

therefore

The maximum number of pounds is 224

Lines m and n are parallel.
what is m<2
options are:
39°
57°
67°
74°

Answers

Answer:

67°

Step-by-step explanation:

9x+2=74

9x=72

x=8

m<2 = 180-(5(8)-1+74)

= 180-(39+74)

=180+113

= 67°

A right rectangular prism is shown below.



What is the volume of the prism in cubic inches?

Answers

Answer:

Hello! answer: 264

Step-by-step explanation:

Volume is super simple you just do multiply all of these together for it so...

5 1 /2 × 12 × 4 = 264 HOPE THAT HELPS!

On Monday, Courtney spent 14 minutes solving 1 math problem and 2 biology problems. On Tuesday, Courtney spent 16 minutes solving 2 math problems and 1 biology problem. Write and solve a system of equations to find how long it takes Courtney to solve each math problem and each biology problem

Answers

Answer:

the timing taken to solve each math problem and each biology problem is 4 minutes each respectively

Step-by-step explanation:

Let us assume the timing taken for math problem be x

And, the time taken for biology problem be y

Now as per the question

The following equations should be considered

x + 2y = 14 .............(1)

2x + y = 16. ...................(2)

Multiply by 2 in equation 1

So,

2x + 4y = 28

2x + y = 16

3y = 12

y = 4 minutes

So, x = 14 - 2(4)

= 12 - 8

= 4 minutes

hence, the timing taken to solve each math problem and each biology problem is 4 minutes each respectively

The number of bacteria in a Petri dish increases by 18% every hour. If there were initially 200 bacteria placed in the Petri dish, which function can be used to determine the number of bacteria in the Petri dish in exactly x hours?

Answers

Answer:

y=36x, I think would be the correct answer

SP and Enrich are water pump manufacturers. SP claims that its water pumps have a higher maximum discharge flow rate than Enrich water pumps with the same specifications. To test the claim, a consumer bureau selected 10 water pumps from each manufacturer by visiting the distribution sites of both SP and Enrich and blindly selecting one water pump from 10 different lots at their sites. The consumer bureau found that, on average, SP water pumps had a 4% higher maximum discharge flow rate than Enrich water pumps. Given the bureau’s data collection method and report, what conclusion can be made?

A. The collection method was unfair because SP's claim may have influenced the bureau's report.
B. The collection method was random because the selection process ensured a random representation of each manufacturer's water pumps.
C. The collection method was fair because SP water pumps had the higher maximum discharge flow rate.
D. the collection method was nonrandom because only 10 water pumps from each manufacturer were selected.

Answers

Answer:

The collection method was random because the selection process ensured a random representation of each manufacturer’s water pumps.

Step-by-step explanation:

Given the Bureau’s data collection method and report, the conclusion that can be made is "The collection method was random because the selection process ensured a random representation of each manufacturer's water pumps.". Option B. This is further explained below.

What is data collection?

Generally, data collection is simply defined as the process of acquiring and measuring information on variables of interest in a systematic manner

In conclusion, with the Bureau's data collecting technique and report, one might draw the following conclusion; The collection method was random since the selection procedure assured a random representation of each manufacturer's water pumps.

Read more about Data Collection

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Complete the factored form.
7x² +37x + 10 = (7x + 2)()

Answers

The completed factor is (7x+2) (x+5)

Question 8
Find the surface area of the equilateral triangular pryamid.
15 cm
10 cm

Answers

Answer:

268.3 cm³

Step-by-step explanation:

Surface area of triangular pyramid = Base Area + ½*(perimeter of base)(height of pyramid)

Base area = 43.3 cm²

Perimeter of base = 10 + 10 + 10 = 30 cm

Height of pyramid = 15 cm

Plug in the values

Surface area = 43.3 + ½(30)(15)

Surface area = 43.3 + 225

= 268.3 cm³

1/2 x ( 6 x 4 ) divided by (3 + 2)

Answers

Answer:

Step-by-step explanation:

[tex]\frac{\frac{1}{2} *(6*4)}{3+2}\\\\\frac{12}{5} \\\\2.4 = 2\frac{2}{5}[/tex]

PLS HELP!! WILL GIVE BRAINLIST!!

Answers

The answer is C plz brainliest

Determine the value of the variable that makes the equation true.

`1=-10c`

Answers

Answer:

please the answer is-10

What is the mean absolute deviation of the data set?

{20, 10, 30, 20, 50, 30, 40, 20} 08 O 10 o 12 O 20​

Answers

Answer:

The answer is 10

Step-by-step explanation:

-add all numbers in a sum

-divide by total of numbers

-use 1.5 strategy

-you get ten

Answer:

10

Step-by-step explanation:

took quiz

can someone please please please answer this :(
i really need this right now so please :(
yesterday was the deadline I'm late :(

Answers

they observed how the water would become warmer.

the fish would be driven away and the fishermen would catch lesser fish.

farmers would get more profuse crops.

The full name they used was El Nino de Navidad, because El Nino typically peaks around December. El Nino means Little Boy, or Christ Child in spanish.

The farmers get more abundant crops during El Nino because more inland rainfall lead to profuse crop harvest.

The fisherman get less catch during El Nino because the thickness of the eastern pacific ocean increases, preventing water that’s rich in nutrients or cold to reach the surface. this dampened the primary production that the fish depended on.

El Nino gives South America a cooler and wetter winter season.

Southeast Asia typically gets drier-than-average rainfall conditions and Australia typically gets warmer than average weather in the daytime ( caused by a decrease in cloud cover ).

Contrasting to the conditions to South America during this period, El Nino causes North America warmer and drier conditions.

a line that passes through the point (3,-1) and has a slope of -2/3​

Answers

Answer:

y = -2/3x + 1

Step-by-step explanation:

y = -2/3x + b

-1 = -2/3(3) + b

-1 = -2 + b

1 = b

y = -2/3x + 1

In the formula for volume of a right cone, solve for the variable k: V = 1/3 * pi * r ^ 2 * h Note: In this formula, V is volume, h is height, and r is radius of the base of the cone

A. h = (3r ^ 2 * V)/pi
B. h = (3V)/(pi * r ^ 2)
C. h = (3pi * V)/(r ^ 2)
D. h = v/(3pi * r ^ 2)

Answers

The height of the cone can be written as h = 3V/(π × r²).

How to solve a linear equation?

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The formula for the volume of cone is given as V = 1/3 × π × r² × h.

It can be written in terms of h by the method of solving a linear equation as follows,

V = 1/3 × π × r² × h

=> 3V = π × r² × h

=>  h = 3V/(π × r²)

Hence, the expression for height from the given formula can be written as h = 3V/(π × r²).

To know more about linear equation click on,

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pls help with 6 a pls

Answers

Answer:

a=2054cm2

b=822cm2

Step-by-step explanation:

a=(26×47) + [(25×16)×2]=2054cm2

b=(26×47)-(25×16)=822cm2

question is in the snapshot

Answers

Answer:

I believe it would be C.

Step-by-step explanation:

First, you have to subtract 2 from both sides and that gives you 2t>4. Divide by 2 to get t>2 and you have the solution of the number line, which also shows the same thing.

i believe it’s c
sorry if it’s wrong !

the glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full. How many cups of coffee does it hold when its full?

Answers

Answer:

125 cups

Step-by-step explanation:

45 is 36% of what number?

45 = 0.36n

n = 45 / 0.36

n = 125

Someone help me with proving identities? and please show the work if you can!

Answers

Answer:

See Below.

Step-by-step explanation:

11)

We have:

[tex]\displaystyle \cos\theta\cdot \cot\theta+\sin^2\theta\cdot \csc\theta=\csc\theta[/tex]

Rewrite:

[tex]\displaystyle \cos\theta\left(\frac{\cos\theta}{\sin\theta}\right)+\sin^2\theta\left(\frac{1}{\sin\theta}}\right)=\csc\theta[/tex]

Multiply:

[tex]\displaystyle \frac{\cos^2\theta}{\sin\theta}+\frac{\sin^2\theta}{\sin\theta}=\csc\theta[/tex]

Combine:

[tex]\displaystyle \frac{\cos^2\theta+\sin^2\theta}{\sin\theta}=\csc\theta[/tex]

According to the Pythagorean Identity, sin²θ + cos²θ = 1. Hence:

[tex]\displaystyle \frac{1}{\sin\theta}=\csc\theta[/tex]

Simplify:

[tex]\csc\theta=\csc\theta[/tex]

12)

We have:

[tex]\displaystyle \frac{\cos^2\theta +\sin^2\theta}{1+\tan^2\theta}=\cos^2\theta[/tex]

Pythagorean Identity:

[tex]\displaystyle \frac{1}{1+\tan^2\theta}=\cos^2\theta[/tex]

From the Pythagorean Identity, if we divide both sides by cos²θ, we acquire that tan²θ + 1 = sec²θ. Hence:

[tex]\displaystyle \frac{1}{\sec^2\theta}=\cos^2\theta[/tex]

Simplify:

[tex]\cos^2\theta =\cos^2\theta[/tex]

13)

We have:

[tex]\displaystyle \frac{\csc\theta\cdot \cos\theta}{\tan\theta +\cot\theta}=\cos^2\theta[/tex]

Rewrite:

[tex]\displaystyle \frac{1/\sin\theta\cdot \cos\theta}{\sin\theta/\cos\theta+\cos\theta/\sin\theta}=\cos^2\theta[/tex]

Multiply both top and bottom by cosθsinθ. Hence:

[tex]\displaystyle \frac{\cos^2\theta}{\sin^2\theta +\cos^2\theta}=\cos^2\theta[/tex]

By the Pythagorean Identity:

[tex]\displaystyle \frac{\cos^2\theta}{1}=\cos^2\theta[/tex]

Simplify:

[tex]\cos^2\theta=\cos^2\theta[/tex]

Find the slope of the line

Answers

Answer:

2 or 2/1

Step-by-step explanation:

First we put -"3y" to the other side of the equation to get

3y=6x+6

Now divide everything by 3 to get "y" by itself.

y=2x+2

The slope is 2 or 2/1

Answer:

b.2

Step-by-step explanation:

6x-3y+6=0

-3y=-6x-6 divide both sides by -3

y=2x+2

Please answer 5 (I GIVE BRAINLIEST)

Answers

Answer:

Graph D

Step-by-step explanation:

The slope of the data is 2.5 because 2.5 cups of flour are used for every ounce of butter. Some points on the graph we can use is (0,0) and (10,4).

(0,0): When there are 0 cups of flour, there are 0 ounces of butter.

(10,4): When there are 10 cups of flour, there are 4 ounces of butter.

Slope=m

[tex]m=\frac{Change(y)}{Change(x)}[/tex]

[tex]m=\frac{10-0}{4-0}[/tex]

[tex]m=\frac{10}{4}[/tex]

[tex]m=2.5[/tex]

Graph D is the only graph containing the point (10,4) and (0,0). So, Graoh D is the correct graph.

Graph A I’m pretty sure

A plane intersects both nappes of a double-napped cone, and it does not contain the vertex of the cone.
Which conic section is formed?
ellipse
parabola
circle
hyperbola

Answers

Answer:

ellipse i think

Step-by-step explanation:

Answer:

ellipse

Step-by-step explanation:

4b^2+10 if b=5 please help and I need to use distributive property

Answers

Answer:

fonite is amzing

Step-by-step explanation:

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