greatest common factor of 12x^3+16xy+4x^2

Answers

Answer 1

Given:

The expression is:

[tex]12x^3+16xy+4x^2[/tex]

To find:

The greatest common factor of the given expression.

Solution:

We have,

[tex]12x^3+16xy+4x^2[/tex]

The terms of the expression are [tex]12x^3, 16xy, 4x^2[/tex]. The factor forms of these terms are:

[tex]12x^3=2\times 2\times 3\times x\times x\times x[/tex]

[tex]16xy=2\times 2\times 2\times 2\times x\times y[/tex]

[tex]4x^2=2\times 2\times x\times x[/tex]

The common factors are 2, 2, x. So, the greatest common factor is:

[tex]G.C.F.=2\times 2\times x[/tex]

[tex]G.C.F.=4x[/tex]

After taking out the G.C.F., the given expression can be written as:

[tex]12x^3+16xy+4x^2=4x(3x^2+4y+x)[/tex]

Therefore, the G.C.F. of the given expression is [tex]4x[/tex].


Related Questions

Find x please I'm preparing for a test ;-;

Answers

Answer:

x = 10

Step-by-step explanation:

6^2 + 8^2  = x^2

36 + 64 = x^2

100 = x^2

[tex]\sqrt{100} = \sqrt{x^2}[/tex]

x = 10

Answer:

x = 10

Step-by-step explanation:

8² + 6² = x²

64 + 36 = x²

100 = x²

x² = 100

√x² = √100

x = 10

Graph y + 2 = - 3/4 (x + 4)

Answers

Answer:

Step-by-step explanation:

You are playing darts with your friends. You get 10 points for bullseye-yellow, 5 for red, 3 for purple, and one for black. You throw 2 darts. Make a list to show all the possible scores you could get.

Answers

Answer:

10 and 10

10 and 5

10 and 3

5 and 3

3 and 5

Step-by-step explanation:

What is the value of x that makes the equation true?

Answers

Please message me back with the equation!
the process of finding out the variable value that makes the equation true is called 'solving' the equation. An equation is a statement that two quantities are equivalent. For exp/example:. x + 1 = 4 mean that when we add 1 to the unknown value, 'x', the answer is equal to 4

What is the area of this polygon??

(NO LINK PLS <3)

Answers

Answer:

Hello! answer: 96

Step-by-step explanation:

8 × 3 = 24 24 ÷ 2 = 12

5 × 4 = 20

8 × 8 = 64

12 + 20 + 64 = 96

Hope that helps!

The answer is 96 hope this helped

Name one method of payment that allows you to use money in your account and one method that allows you to pay the amount at a later time.
A. money transfer
b. credit card
c. check

Answers

that would be check, bc you can cash in a check at any given time

If the measure of _1 is 50°, what is the measure of 28?

Answers

Answer:

130 degree of 2 and 8

Step-by-step explanation:

I think so

Answer:

130

Step-by-step explanation:

Have a nice day


20 POINTS!!!
Which polynomial lists the powers in descending order?
A. 43 - 4x + 24 + x? - 10
B. XI - 475 + 2A + 473 - 10
c. x +4% + 2A - 475 - 10
D. -10 + 433 - 4x + 24 + x?

Answers

i want to say the answer is C

help me please i need help on my maths hw people

Answers

65-14=65-5-x
x=9

Explanation=
65-14=65-5-x
51=60-x
-9=-x
9=x

Answer:

the answer to this question is 9.

Step-by-step explanation:

65-14=51

as in the question ,the first equation should be equal to the second.

65-5-9=51....

how many solutions does -3x+12-9x+8=-3(4x-7)

Answers

Answer:

-3x+12-9x+8=-3(4x-7)

-3x+12-9x+8=-12x+21

-12x+21=-12x+21

21=21

infinitely many solutions

hope this helps

have a good day :)

Step-by-step explanation:

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

What is the solution to the equation?

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

-3x + 12 - 9x + 8 = - 3(4x - 7)

Simplify the equation, then we have

- 3x + 12 - 9x + 8 = -3(4x - 7)

- 12x + 20 = - 12x + 21

12x - 12x = 1

(0) x = 1

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ3

See image for question.

Question Continuation:
a. both of them winning their respective States.
b. both of them lose in their respective States.
c. at least one of them wins in his state.​

Answers

Answer:

Question 1

Total number of marbles = 5 + 7 + 8 = 20

(a)

P(red, red) = 5/20*4/19 = 1/19

(b)

P(white and blue) = P(white, blue or blue, white) = 7/20*8/19 + 8/20*7/19 = 14/95 + 14/95 = 28/95

(c)

P(both same colour) = P(red,red or blue,blue or white,white) = 1/19 + 8/20*7/19 + 7/20*6/19 = (20 + 56 + 42)/380 = 118/380 = 59/190

Question 2

P(A) = 2/9P(B) = 4/11

(a)

P(A and B) = 2/9 * 4/11 = 8/99

(b)

P(not A and not B) = (1 - P(A))(1 - P(B)) = 7/9*7/11 = 49/99

(c)

P(A or B) = 1 - P(not A and not B) = 1 - 49/99 = 50/99

WILL GIVE BRAINLIEST find the value of x

Answers

Answer:

66

Step-by-step explanation:

help very easy 5th grade math im in rush please help im very tired

Answers

Answer:

D

Hope that this helps!

pls help in the middle of my final lol

Answers

Answer:

C

Step-by-step explanation:

The angle you're looking at is a Right Angle, and is 90 degrees. And the equation "-5 + 95" is the same as "95 - 5" which equals out to 90 degrees.

- 20 = 2(n − 3) Asswer ?

Answers

Answer:

Step-by-step explanation:

-20=2(n-3)

-20=2*n-2*3

-20=2n-6

-20+6-2n

-14/2=n

-7=n

Answer:

n = -7

Step-by-step explanation:

- 20 = 2(n − 3)

divide by 2

-10 = n-3

transpose

-10 + 3 = n -3 + 3

n=-7

ANSWER PLEASE I NEED IT

Answers

Answer:

its the second one

Step-by-step explanation:

I NEED HELP WITH A MATH QUESTION!!! graph and vertex are included

Answers

Answer:

Below

Step-by-step explanation:

To find the answers for the table, you must plug in each x value into the equation and get your y value:

x = -1

(-1^2)-(4*-1)-1

=

1+4-1

=

4

When x = -1, y = 4

x=0

(0^2)-(-4*0)-1

=

-1

When x = 0, y = -1

x = 1

(1^2)-(4-1)-1

=

1-4-1

=

-4

When x = 1, y = -4

x = 2

(2^2)-(4*2)-1

=

4-8-1

=

-5

When x = 2, y = -5

x = 3

(3^2)-(4*3)-1

=

9-12-1

=

-4

When x = 3, y = -4

I made a graph of this shown below.

I also created a table, that answrs your question below.

Hope this helps!

Pleaseee someone help!!!! I’m sooo confused right now

Answers

Answer:

Your friend made a mistake when multiplying the coefficients of each term and when adding the exponents of each term.

Correct answer: [tex]\left(12a\right)^{7/10}[/tex]

Step-by-step explanation:

We can use the exponent property [tex]a^b\cdot a^c=a^{(b+c)}[/tex] to solve this problem.

Substituting given values, we get:

[tex]4a^{(\frac{1}{2})}\cdot 3a^{(\frac{1}{5})}=12a^{(\frac{1}{2}+\frac{1}{5})}=12a^{(\frac{5}{10}+\frac{2}{10})}=\boxed{12a^{(\frac{7}{10})}}[/tex]

Answer:

Your friend made the mistake of adding the coefficents and multiplying the exponents (instead of mulitplying the coefficents and adding the exponents)

The correct answer is: [tex]12a^{\frac{7}{10}}[/tex]

Step-by-step explanation:

When mulitiplying exponentials with the same base you mulitply their coefficents and add their exponents.

Your friend made the mistake of adding the coefficents and multiplying the exponents

3 divided by x = 6

What is x?

Answers

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

3 ÷ x = 6

Step 2: Solve for x

[Multiplication Property of Equality] Multiply x on both sides:                      3 = 6x[Division Property of Equality] Divide 6 on both sides:                                 3/6 = xSimplify:                                                                                                             1/2 = xRewrite:                                                                                                             x = 1/2

I need help with 42,43,44 they’re all based off the chart right there!

Answers

Answer:

43 4445 itmean near divide by 5

42) c
43) c
44) b

Hope this helps!

PLEASE HELP ASAP - ILL GIVE BRAINIEST

Answers

It’s x+7

The second one is x-2

I don’t know this answer help

Answers

Answer:

2n - 2

Step-by-step explanation:

rewrite without parentheses, pretend there is a 1 between the minus sign and the open parentheses that has to be distributed:

3n - 1(2 + n)

3n - (1)(2) + (-1)(n)

3n - 2 - n

combine 3n and -n to get 2n

2n - 2

Answer:

[tex]2n - 2[/tex]

Step-by-step explanation:

When there is a - in front of an expression in parentheses, change the sign of each term in the expression:

[tex]3n - 2 - n[/tex]

Combine like terms:

[tex]3n - n - 2 \\ 2n - 2[/tex]


The histogram below gives the distribution of test scores for a sample of
students in a school in Alaska. Which answer choice gives the number of
students that scored above 50.5?


Answers

The correct answer is A give brainliest pls

Volume of rectangular cuboid is 8000cm. Length= 4x Width= 2x Height= 1x Find it's height, width and length.

Answers

Answer: 40 cm, 20 cm, 10 cm

Step-by-step explanation:

Given

Volume of rectangular cuboid is [tex]8000\ cm^3[/tex]

Length of cuboid is [tex]4x[/tex]

width of cuboid is [tex]2x[/tex]

Height of cuboid is [tex]x[/tex]

Volume of cuboid is given by

[tex]\Rightarrow \text{Volume}=\text{length}\times \text{width}\times \text{height}[/tex]

[tex]\Rightarrow V=4x\cdot 2x\cdot x\\\Rightarrow 8000=8x^3\\\Rightarrow x^3=1000\\\Rightarrow x=10\ cm[/tex]

Length =40 cm

width =20 cm

Height =10 cm

A negative correlation means ________. Group of answer choices there is a relationship between two variables, but it is not statistically significant two variables increase together, but they are associated with an undesirable outcome one variable decreases as the other increases a third variable eliminates a correlational relationship

Answers

Answer: one variable decreases as the other increases

Step-by-step explanation:

15 POINTS FOR ANSWER: Which would be my x quantity? Which would be my y quantity?

Answers

Answer:

Number of items is x, and cost is y

Step-by-step explanation:

Number of items would be the x quanitity because it illustrates the quantities supplied which is the independent variable. The cost is always on the y axis because it shows the minimum price that a supplier would accept for a given quantity meaning it's the dependent variable.

I know that may be confusing but that's the only way to explain it.

Please help with this

Answers

Step-by-step explanation:

multiply 455 by 0.20

convert percentage to decimal

20% = 0.20 ( multiply by 10^-2)

why does this work?

convert to a fraction

20/100 ( this is also how you get decimal)

simplify 20/100 = 1/5

so multiplying 455 by 0.20 is the same as dividing by 5

Which line intersects the parabola y = x^2 + 6x-2 at two points?

A. y = 6x - 4
B. y = 6x - 3
C. y= 6x – 2
D. y = 6x - 1

Answers

Answer:

C

Step-by-step explanation:

You find y-intercept x=0

can someone help pleaseee

Answers

the answer is 2, 3 x 2 = 6 x 9 = 54 and 3 x 18 = 54

find square root of 4489 by division method.

plz answer correctly this question is maths question of my summer homework.​

Answers

Answer:

The square root of 4489 is:

67

Step-by-step explanation:

To find the square root by división method you must do the next:

1. you write the square root:

[tex]\sqrt{4489}[/tex]

2. You separe the number inside the square root in groups of two digits, begining by the right (in this case doesn't matter, because we have 4 digits, but remember this when the number has an odd number of digits):

√44 89

3. You must find a whole number which squaring gives us a number equal to or less than our first pair of digits (44), in this case is 6, because 6*6 = 36 and, if we take 7, 7*7 = 49 (we would pass):

√44 89 ║6

4. Now, we subtract the squaring of the number obtained to our first pair of digits:

√44 89 ║6

-36

= 8

5. We duplicate the root obtained (6) and we lower the next pair of digits next to the result of the previous subtraction, but this time we make pairs of digits from the left:

√44 89 ║6

-36       ║12

= 88 9

6. We divide 88 (our pair of digits) in 12 (the double of the obtained root):

88 ÷ 12 = 7.3333333 (we approximate to 7)

7. We put the number obtained in the division (7) to the right side of the double of the obtained root (12) and we multiply by this too:

√44 89 ║6

-36       ║127 * 7 = 889

= 88 9

8. we subtract the number obtained in the multiplication to the digits we order in pairs (889):

√44 89 ║6

-36       ║127 * 7 = 889

= 88 9

- 889

= 0

9. We raise the number that we multiply by twice the previous root found, as another digit of the root:

√44 89 ║67

-36       ║127 * 7 = 889

= 88 9

- 889

= 0

As you can see, the square root of 4489 with this method gave us the result 67.

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