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

Aug 10, 2016

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

#### Explanation:

${\left(x + 5\right)}^{2}$ means $\left(x + 5\right) \left(x + 5\right)$
This is NOT equal to ${x}^{2} + 25$!!

Each term in the first bracket must be multiplied by each term in the second bracket, so give 4 terms as a start.

$\left(x + 5\right) \left(x + 5\right) = {x}^{2} + 5 x + 5 x + 25$

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

This is called the square of a binomial and is always in the form:

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