Solve 8y+(x)^(2)y+2y+(x)^(2)y | 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

$$8y+ { x }^{ 2 } y+2y+ { x }^{ 2 } y$$

Factor

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

Solution Steps

Factor out $y$.

$$y\left(10+2x^{2}\right)$$

Consider $8+x^{2}+2+x^{2}$. Multiply and combine like terms.

$$2x^{2}+10$$

Consider $2x^{2}+10$. Factor out $2$.

$$2\left(x^{2}+5\right)$$

Rewrite the complete factored expression. Polynomial $x^{2}+5$ is not factored since it does not have any rational roots.

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

Evaluate

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