# How do you factor c^2+17cd+70d^2?

Jun 18, 2016

$\left(c + 10 d\right) \left(c + 7 d\right)$

#### Explanation:

you can transform the trynomial in this way:

${c}^{2} + 17 c d + 70 {d}^{2} = {c}^{2} + 10 c d + 7 c d + 70 {d}^{2}$

and factor in two steps:

$c \left(c + 10 d\right) + 7 d \left(c + 10 d\right)$

$\left(c + 10 d\right) \left(c + 7 d\right)$