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

How do you multiply ${\left(x+5\right)}^{2}$?
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Squaring means multiplying a factor or term by itself,
This example is called squaring a binomial
${\left(x+5\right)}^{2}=\left(x+5\right)\left(x+5\right)$
Each term in the bracket must be multiplied by each term in the second bracket,
${\left(x+5\right)}^{2}={x}^{2}+5x+5x+25={x}^{2}+10x+25$
Note: the two middle terms will ALWAYS be the same
=5x+5x=10x
Can you see the short method to get to the answer?
${\left(2x-3\right)}^{2}=4{x}^{2}-12x+9$
${\left(5{x}^{2}-3y\right)}^{2}=25{x}^{4}-30{x}^{2}y+9{y}^{2}$
###### Not exactly what you’re looking for?
Nathan Huang
${\left(x+5\right)}^{2}$ means (x+5)(x+5)
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.
$\left(x+5\right)\left(x+5\right)={x}^{2}+5x+5x+25$
$={x}^{2}+10x+25$
This is called the square of a binomial and is always in the form:
${\left(ax+b\right)}^{2}={a}^{2}{x}^{2}+2abx+{b}^{2}$