Question

Factor the following polynomial completely.

x^4y+8x^3y-6x^2y^2-48xy^2

Answer 1

xy(x+8)(x^2-6y)

Explanation:

To long to explain, but you can just google it if you just need the answer

Answer 2

xy(x^2 - 6y)(x + 8 ) .

Explanation:

The Greatest Common Factor of this expression is:

xy so dividing by this:

= xy(x^3 + 8x^2 - 6xy - 48y).

Factoring the expression in the parentheses by grouping:

= xy [ x^2( x + 8) - 6y (x + 8)]

= xy(x^2 - 6y)(x + 8 ) (answer).