# How do you multiply (x + 5)^2?

Sep 7, 2016

${x}^{2} + 10 x + 25$

#### Explanation:

Squaring means multiplying a factor or term by itself,
This example is called squaring a binomial

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

$\textcolor{red}{\text{DO NOT JUST SQUARE EACH TERM INSIDE!!}}$

Each term in the bracket must be multiplied by each term in the second bracket,

${\left(x + 5\right)}^{2} = {x}^{2} \textcolor{b l u e}{+ 5 x + 5 x} + 25 = {x}^{2} + 10 x + 25$

Note: the two middle terms will ALWAYS be the same

$\textcolor{b l u e}{+ 5 x + 5 x = 10 x}$

Can you see the short method to get to the answer?

${\left(2 x - 3\right)}^{2} = 4 {x}^{2} - 12 x + 9$

5x^2 -3y)^2 = 25x^4 -30x^2y +9y^2