Factoring polynomials, trinomials: 3x^y-6xy^3+9x^3y-12xy^2

[zhyia]

3x^2y-6xy^3+9x^3y-12xy^2

I can pull a 3xy out of each

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

8x^2+2x-3

(4x+3)(2x-1)

8x^2-4x+6x-3
8x^2+2x-3 gets us back to the original problem

so the answer is (4x+3)(2x-1)

5w^2-25wzt+30z^2

I can pull a 5 out

=5(w^2-5wz+6z^2)

 

[steve_b]

3x^2 y - 6xy^3 + 9x^3 y - 12xy^2

I can pull a 3xy out of each

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

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Almost:

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

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8x^2+2x-3

(4x+3)(2x-1)

8x^2-4x+6x-3
8x^2+2x-3 gets us back to the original problem

so the answer is (4x+3)(2x-1)

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Yes!

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5w^2-25wzt+30z^2

I can pull a 5 out

=5(w^2-5wz+6z^2)

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You can factor the expression in the parentheses:

= 5 (w - 2z) (w - 3z)

Steve