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PLEASE HELP FAST 100 POINTS

You are given the expression 36x4y3 − 16x3y. Part A: Find a common factor for the expression that 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)

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Answer:

Below in bold.

Step-by-step explanation:

36x4y3 − 16x3y

Part A.

Common factor is 4x3y.

Part B.

Consider 36 and 16

36 = 2*2*3*3

15 = 2*2*2*2

So, The Greatest Common factor (GCF) = 2*2 = 4

The GCF of x4 ( = x*x*x*x) and x3

(= x*x*x)

= x*x*x = x3

The GCF of y3 and y is y.

- giving 4x3y.

Part C.

36x4y3 − 16x3y

= 4x3y(9xy2 - 4).

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