Solve (x)^(3)y+2(x)^(2)(y)^(2)+x(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

$${ x }^{ 3 } y+2 { x }^{ 2 } { y }^{ 2 } +x { y }^{ 3 }$$

Factor

$xy\left(x+y\right)^{2}$

Solution Steps

Factor out $xy$.

$$xy\left(x^{2}+2xy+y^{2}\right)$$

Consider $x^{2}+2xy+y^{2}$. Use the perfect square formula, $a^{2}+2ab+b^{2}=\left(a+b\right)^{2}$, where $a=x$ and $b=y$.

$$\left(x+y\right)^{2}$$

Rewrite the complete factored expression.

$$xy\left(x+y\right)^{2}$$

Evaluate

$xy\left(x+y\right)^{2}$