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s344n2d4d5 [400]
1 year ago
6

HELPPPPPP 13 POINTS IF YOU HELP/You are given the expression 36x4y3 − 16x3y. Part A: Find a common factor for the expression tha

t has a coefficient other than 1 and that contains at least one variable. (1 point) Part B: Explain how you found the common factor. (1 point) Part C: Rewrite the expression using the common factor you found in Part A. Show every step of your work. (2 points)
Mathematics
1 answer:
myrzilka [38]1 year ago
8 0

Answer:

The common factor for the given expression is, 4x^3y4x

3

y .

What is the common factor?

The largest factor that splits both numbers is said to be the greatest common factor. List the prime factors of each integer before calculating the greatest common factor.

The largest positive integer that divides each of the integers is known as the greatest common divisor of two or more non-zero integers.

The given expression is, 36x^4y^3 - 16x^3y36x

4

y

3

−16x

3

y

Applying the exponent rule: a^b^+^c = (a^b)(a^c)

So, x^4y^3 = x^3xyy^2x

4

y

3

=x

3

xyy

2

Expression becomes,

36x^4y^3 - 16x^3y = 36x^3xyy^2 - 16x^3y36x

4

y

3

−16x

3

y=36x

3

xyy

2

−16x

3

y

Rewrite: 36 as (9)(4) and 16 as (4)(4).

So,

\begin{gathered}(9)(4)x^3xyy^2 - (4)(4)x^3y\\4x^3y(9xy^2 - 4)\\\end{gathered}

(9)(4)x

3

xyy

2

−(4)(4)x

3

y

4x

3

y(9xy

2

−4)

Therefore, the common factor for the expression is, 4x^3y4x

3

y .

By applying the exponent rule and splitting the terms 36 and 16 we can find the common factor.

To know more about the common factor, click on the link

brainly.com/question/219464

#SPJ13

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