Determine the greatest common factor of 24x3y4−15xy2−36x2y3

Answer 1

To find the greatest common factor (GCF) of the given expression, we need to factorize it first.

Factoring out the common terms gives:
24x^3y^4 − 15xy^2 − 36x^2y^3

Taking out the common factors of x and y from each term:
x * y^2 * (24x^2y^2 − 15 − 36xy)

To further factorize, let's factor out the common factor within the parentheses:
24x^2y^2 − 36xy − 15
= 3(8x^2y^2 − 12xy − 5)

The GCF of the given expression is the product of the common factors:
GCF = x * y^2 * 3

Therefore, the greatest common factor of 24x^3y^4 − 15xy^2 − 36x^2y^3 is 3xy^2.

Answer 2

C.3xy2
B.
C.(x-4) (x2-4)
B.(3a+7) (3a-7)
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