Solve -6x(y)^(2)-9x(y)^(2)+9x(y)^(3) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$-6x { y }^{ 2 } -9x { y }^{ 2 } +9x { y }^{ 3 }$$

Factor

$3x\left(3y-5\right)y^{2}$

Solution Steps

Factor out $3$.

$$3\left(-2xy^{2}-3xy^{2}+3xy^{3}\right)$$

Consider $-2xy^{2}-3xy^{2}+3xy^{3}$. Factor out $xy^{2}$.

$$xy^{2}\left(-5+3y\right)$$

Consider $-2-3+3y$. Multiply and combine like terms.

$$3y-5$$

Rewrite the complete factored expression.

$$3xy^{2}\left(3y-5\right)$$

Evaluate

$3x\left(3y-5\right)y^{2}$