How do you find the product (2x-5)^2?

Jun 7, 2017

See a solution process below:

Explanation:

This is a special form of a quadratic which uses the formula:

${\left(a - b\right)}^{2} = {a}^{2} - 2 a b + {b}^{2}$

Substituting $2 x$ for $a$ and $5$ for $b$ gives:

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

$4 {x}^{2} - 20 x + 25$