Solve 2(x)^(3)+4(x)^(2)y+2x(y)^(2) | 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

$$2 { x }^{ 3 } +4 { x }^{ 2 } y+2x { y }^{ 2 }$$

Factor

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

Solution Steps

Factor out $2$.

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

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

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

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.

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

Evaluate

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