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

Apr 3, 2018

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

#### Explanation:

${\left(x + 5\right)}^{2}$
$\left(x + 5\right) \left(x + 5\right)$ ---> expand
${x}^{2} + 5 x + 5 x + 25$
${x}^{2} + 10 x + 25$

Apr 4, 2018

Here is another method in solving the question;

#### Explanation:

Not that the formula goes like this, for example;

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

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

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

${\left(x + y\right)}^{2} = {x}^{2} + {y}^{2} + 2 x y - - - e q n$

Now having, ${\left(5 + x\right)}^{2}$

Where; $x = 5 , \mathmr{and} y = x$

Substituting the values into the equation..

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

${\left(5 + x\right)}^{2} = 25 + {x}^{2} + 10 x$

Therefore;

${\left(5 + x\right)}^{2} = {x}^{2} + 10 x + 25$