(Polynomials)Expand: (m/2+2n)^3​

Answers

Answer 1

Answer: m^3/8+3m^2n/2+6mn^2+8n^3 Hope that helps!

Step-by-step explanation:

1. Use cube of sum : (a+b)^3=a^3+3a^2b+3ab^2+b^3

(m/2+2n) ((m/2)^2+2×m/2×2n+(2n)^2)

2. Use division distributive property: (x/y)^a= x^a/y^a

(m/2+2n)(m^2/2^2+2×m/2×2n+(2n)^2)

3. Simplify 2^2=4

(m/2+2n)(m^2/4+2×m/2×2n+(2n)^2)

4. Use multiplication distributive property (xy)^a= x^a y^a

(m/2+2n)(m^2/4+2×m/2×2n+2^2n^2)

5. Simplify 2^2=4

(m/2+2n)(m^2/4+2×m/2×2n+4n^2)

6. Cancel 2

(m/2+2n)(m^2/4+m×2n+4n^2)

7. Regroup terms

(m/2+2n)(m^2/4+2mn+4n^2)

8. Expand by distributing sum groups

m/2(m^2/4+2mn+4n^2)+2n(m^2/4+2mn+4n^2)

9. Expand by distributing terms

m^3/8+m^2n+2mn^2+2n(m^2/4+2mn+4n^2)

10. Expand by distributing terms

m^3/8+m^2n+2mn^2+nm^2/2+4n^2m+8n^3

11. Collect like terms

m^3/8+(m^2n+m^2n/2)+(2mn^2+4mn^2)+8n^3

12. Simplify.

And your answer would be m^3/8+3m^2n/2+6mn^2+8n^3

Can you make me Brainliest please


Related Questions

Two employees of Frontier Fence Company can install 100 feet of fence in two days. Help a. What is the unit rate for one employee? b. Write a proportion to show the relationship between this rate and 150 feet of fence. c. At this same rate, how many employees are needed to install 150 feet of fence in one day? -2020 CPM Educational Program. All rights reserved.​

Answers

Answer:25/day

Step-by-step explanation:

Which of the following is equal to 2?
A. 6 + 4 ÷ (2 + 1) × 3
B. (6 + 4 ÷ 2) – 1 × 3
C. 6 + (4 ÷ 2) + 1 × 3
D. (6 + 4) ÷ 2 – 1 × 3

Answers

I think the answer is B

Answer:

D

Step-by-step explanation:

Start with the values inside parentheses.

6 + 4 = 10

10 / 2 = 5

Then subtract 1*3.

5 - 3 = 2

*B is incorrect because according to order of operations, 4/2 should be calculated before adding 6.

HELP I WILL GIVE BRAINIEST

Answers

It’s either A or D but maybe D

HELP ME SOLVE THIS PLEASE You paid $600 for a new guitar. Your guitar cost $40 more than twice the cost of your friend's guitar. How much did your friend's guitar cost?

Answers

Answer:

520??

Step-by-step explanation:

600-80=520??

educated guess.

Make an equation for this...

600= 2x+40

Subtract 40 from each side to cancel out the +40 from the right side

560= 2x

Divide by two to isolate the variable

280= x

ANSWER:
$280

Which operation would be last when solving the inequality -5x + 9 < -6

Answers

Answer: divding both sides by -5

Step-by-step explanation:

Subtract 9 from both sides.

−5x+9−9<−6−9

−5x<−15

Step 2: Divide both sides by -5.

−5x/−5<−15/−5

x>3

help please and thanks

Answers

Answer:

28km

Step-by-step explanation:

Pythogreom therom

Answer: use p h o t o m a t h

Step-by-step explanation:

Earth's radius is approximately 3960 miles. What is the approximate surface area of
Earth in terms of ?

Answers

Answer:

196.9 million mi^2

Step-by-step explanation:

Barbara says that the expression
6 - 3y + 4 + 2y is equivalent to the expression
5y + 10. Is Barbara correct?

Answers

Answer:

No she is wrong.

Step-by-step explanation:

Let's simplify step-by-step.

6−3y+4+2y

=6+−3y+4+2y

Combine Like Terms:

=6+−3y+4+2y

=(−3y+2y)+(6+4)

=−y+10

Answer:

=−y+10

Help plz..And No links!! I repeat No links!!

Answers

Answer:

The answer is 276.32 square yards.

Step-by-step explanation:

To solve for the surface area of a cylinder, use the surface area of a cylinder formula, which is SA= 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]. However, instead of using ([tex]\pi[/tex]), 3.14 will be used.

Next, plug in the information from the question into the formula. The formula will look like SA= 2(3.14)(4)(7) + 2(3.14)([tex]4^{2}[/tex]). Then, solve the equation, and the final answer will be 276.32 square yards.

Kim has a rope that is meter long, she wants to cut it into 5 places, Each piece must be the same size.
How long will each piece of rope be?

Answers

Answer:

1/5 meter per piece

Step-by-step explanation:

Divide this 1-meter-long rope by 5:

 1 meter

--------------- = 1/5 meter per piece, or 200 mm

 5 pieces

Please help! Struggling with this a bit

Answers

Answer:

Rate of change= 9   Starting amount= 65

The equation would be y= 9x + 65

After 9 months, he would have 146 vreels

For the graph, put the points (0, 65) (2, 83) and (4, 101)

Which of the following equations is represented by the figure?

Answers

your answer should be D.

Michelle falou que tem 5 anos e que sua irmã tem 13 e seu pai 35 e sua mãe tem tres anos amenos que seu pai .Quantos anos a família tem ao total?

Answers

Responder:

85 anos

Explicação passo a passo:

Dado :

Idade de Michelle = 5 anos

Idade da irmã = 13 anos

Idade do pai = 35 anos

Idade da mãe = idade do pai - 3 = 35 - 3 = 32 anos

Idade total se a família:

(Idade de Michelle + idade da irmã + idade da mãe + idade do pai)

(5 + 13 + 35 + 32) = 85 anos

points, segments, rays and lines​

Answers

Answer:

B, E

Step-by-step explanation:

The lines at the top represent line, ray, or segment.

Since line UV is a segment, it includes the normal line. And, you can flip UV to VU so...B and E!

what is the descender order of f(x)=5x2+4x-11

Answers

Answer: Hello Luv.....

f(x)=5x2+4x−11

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

please help me I’m not sure if I’m right lol :)!!!!

Answers

Answer:

You are correct :)

Step-by-step explanation:

Area of a circle = π * r2

R = 39

So 39 squared is 1521.

1521 times pi is 4775.94

Answer:

You are correct! The answer is 4775.94 in^2

Step-by-step explanation:

πr^2 or π(39)^2

Using the box plot of quiz scores below, what percent age of students scored above 85?

Answers

Answer:

that would be B.

Step-by-step explanation:

its at the end and it is only 25% of it there is no way it could be 75% or 50% so the best choice would be 25% B

can someone help solve thsi

Answers

Answer:

50 degrees!!!!!!!!!!!!!!!

Answer:

50 degrees

Step-by-step explanation:

Yeahhhhhh 50 degrees yessss sir

which set of sides will NOT make a triangle?

12cm, 7cm, 5cm

2cm, 3c, 4cm

11cm, 13cm, 3cm

19cm, 14cm, 7cm

Answers

12,7&5.
This is because the sum of any 2 sides must be longer than the third side. Here 5+7 = 12 and is not larger than 12.

please I've been looking for an answer to this question​

Answers

Answer:

x = 9cm

using sine rule

a/sine(A) = b/sine(B)

a= x; A= 64° ( alternating angles)

b= 10 cm ; B = 90°

x/sine(64) = 10/sine(90)

x= {10 × sin(64)}/ sin 90

x = 9cm

Answer:

650

Step-by-step explanation:

3. A class rolled number cubes. Their results are shown in the table. What is the experimental probability of rolling the number 1? Round your answer to the nearest tenth.

17.2%
16.4%
15.7%
17.5%

Answers

Answer:

15.7%

Step-by-step explanation:

Experimental probability is the probability of something that is determined by doing an experiment.

To find the probability, divide the number of rolling a one and add all the occurrences of every other result.

So,

42 / (42 + 44 + 45 + 44 + 47 + 46) =

42 / 268 =

0.156716 =

15.6716

Rounded to the nearest tenth, the probability of rolling a one would be 15.7%.

what is the answer to y= 4x + 11

Answers

Answer:

x=-11/4

Step-by-step explanation:

4x+11       x=4 hope this helps

in a bag, there are 5 red marbles, 2 blue marbles and 3 purple marbles. what is the probability of drawing a purple marble

Answers

Answer:

The probability of drawing a purple marble is 3/10

At the electronics emporium, 10 CDs are on sale. Marie can only afford to buy 3 CDs. How many combinations of CDs are possible?

Answers

Answer:

120 combinations of CDs are possible

Step-by-step explanation:

The total combinations could be

[tex]10C_3[/tex]

[tex]\frac{10*9*8*7!}{7!*3!}[/tex]

On further expanding, we get -

[tex]\frac{10*9*8}{3!} \\\frac{10*9*8}{3*2*1} \\= 10*3*4\\= 120[/tex]

Hence, 120 combinations of CDs are possible

Can you check and see if I am right please?

Answers

Answer:

Mhm correct

Step-by-step explanation:

Alright ima stop being a stalker now...

Yes you got it right:)

Green line equals to:
4=?

The length of the black minus the blue line:
q-2

Which you get 4=q-2 when you combine.



You also got the second question right because 4+2 is 6

Michelle’s house is 22 miles due north of Jan’s house and 30 degrees northeast of Richard’s house. Richard’s house is due east of Jan’s house. How far is it from Michelle’s house to Richard’s house?

Answers

Answer:

Michelle’s house is 44 miles to Richard’s house.

Step-by-step explanation:

The distance can be found out by using the trigonometric ratio of sine theta

Sine theta= Perpendicular/ Hypotenuse

We know the values of hypotenuse and theta

Sine 30 = 22/ Hypotenuse

Hypotenuse= 22/ sine 30

Hypotenuse= 22/0.5

Hypotenuse = 44

The hypotenuse marks the distance between Michelle’s house to Richard’s house. Due east means counter clockwise rotation from east.

pls help i need this done very soon :

Answers

5x+6=1
X= -1
Because you first subtract the 6 to 1 and that equals -5 than you divide the -5 by 5 and that equals -1.

PLZ HELP!
Use the parabola tool to graph the quadratic function f(x)=-x^2+4
Graph the parabola by first plotting its vertex and then plotting a second point on the parbola.​

Answers

Answer:

vertex and x= -b/2a = 0

second point, when x=1, y=3

third point the mirror of the second point over the vertex

Step-by-step explanation:

Do as described

Find the volume. I need answer answer ASAP

Answers

Answer:

[tex]A=448[/tex]

Step-by-step explanation:

To find the volume of the given figure, one must multiply the lengths of all sides together. Therefore, set up an equation and solve,

[tex]V = (l)(w)(h)[/tex]

(V) indicates volume, (l) indicates the length of the base, and (h) indicates the height of the figure.

Substitute,

[tex]V=(8)(14)(4)[/tex]

Solve,

[tex]A=448[/tex]

Which function is represented in this graph?

f(x) = |x + 5| − 1
f(x) = |x + 1| − 5
f(x) = |x − 1| − 5
f(x) = |x − 5| − 1

Answers

Answer:

the first one

Step-by-step explanation:

f(x) = |x+5| -1

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