Question

Factor the GCF: 21x3y4 + 15x2y2 − 12xy3.

Answer 1

Answer:

Option D.$3xy^{2}(7x^{2}y^{2}+5x-4y)$

Step-by-step explanation:

We have to factorize the expression given in the question.

$21x^{3}y^{4}+15x^{2}y^{2}-12xy^{3}$

$21x^{3}y^{4}+15x^{2}y^{2}-12xy^{3}=3(7x^{3}y^{4}+5x^{2}y^{2}-4xy^{3})=3x(7x^{2}y^{4}+5xy^{2}-4y^{3})=3xy^{2}(7x^{2}y^{2}+5x-4y)$

Option D. $3xy^{2}(7x^{2}y^{2}+5x-4y)$ is the answer.

Answer 2

Ugh, these questions.

21x^3y^4 + 15x^2y^2 - 12xy^3

3xy^2 (7x^2y^2 + 5x - 4y)

Clearing up clutter...

3xy² (7x²y² + 5x - 4y)

That's your answer.  Thanks for working my brain. ;)