# How do you multiply (5p-6q)^2?

Aug 27, 2017

$25 {p}^{2} - 50 p q + 25 {q}^{2}$

#### Explanation:

Given -

${\left(5 p - 5 q\right)}^{2}$

Treat it as ${\left(a + b\right)}^{2}$ whose value is ${a}^{2} - 2 a b + {b}^{2}$

${\left(5 p\right)}^{2} - \left(2 \times 5 p \times 5 q\right) + {\left(- 5 q\right)}^{2}$

$25 {p}^{2} - 50 p q + 25 {q}^{2}$