# How do you factor by grouping y^3+y+2y^2+2?

May 9, 2015

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

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

Factor $y$ out of the first term.

$y \left({y}^{2} + 1\right)$

Factor $2$ out of the second term.

$2 \left({y}^{2} + 1\right)$

The common factor is $\left({y}^{2} + 1\right)$ .

$y \left({y}^{2} + 1\right) + 2 \left({y}^{2} + 1\right)$ =

$\left(y + 2\right) \left({y}^{2} + 1\right)$