# How do you factor the expression k^2+ kf-2f^2?

Jun 22, 2016

$\left(k + 2 f\right) \left(k - f\right)$

#### Explanation:

${k}^{2} + k f - 2 {f}^{2}$
=${k}^{2} + k f - {f}^{2} - {f}^{2}$ this is the important part
=${k}^{2} - {f}^{2} + k f - {f}^{2}$
=$\left(k + f\right) \left(k - f\right) + f \left(k - f\right)$
=$\left(k + 2 f\right) \left(k - f\right)$