Question

Find the common factor of – 12y7x^2 – 9y5.

A) – 3y6(2x2y2 + 3)
B) -3y5(x2y2 + 3)
C) -3y5(4x2y2 + 3)
D) -3y6(4x²y2 + 3)"

Answer 1

The common factor of -12y^7x^2 - 9y^5 is -3y^5(4x^2y^2 + 3).

Step-by-step explanation:

To find the common factor of -12y^7x^2 - 9y^5, we can observe that both terms have a common factor of -3y^5. We can factor out this common factor to get:

-12y^7x^2 - 9y^5 = -3y^5(4x^2y^2 + 3)

So, the common factor is -3y^5, and the correct answer is option D) -3y^6(4x^2y^2 + 3).