Question

Factor the GCF: −12x3y5 − 9x2y2 + 12xy33xy2(−4x2y3 − 3x + 4y)−3xy2(4x2y3 − 3x + 4y)−3(4x3y5 + 3x2y2 − 4xy3)−3xy2(4x2y3 + 3x − 4y)

Answer 1

Answer:

$3xy^2(-4x^2y^3-3x+4y)$

Step-by-step explanation:

The given expression is

$-12x^3y^5-9x^2y^2+12xy^3$

To find the greatest common factor; we find the prime factorization of each term in the expression.

$-12x^3y^5=-2^2\times3\timesx^3\times y^5$

$-9x^2y^2=-3^2\times x^3 \times y^2$

$12xy^3=2^2\times 3\times x\times y^3$

The greatest common factor is the product of the least powers of the common factors.

$GCF=3xy^2$

We factor the GCF to obtain;

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