# How do you write (x-4)(x+4)  in standard form?

Mar 4, 2018

${x}^{2} - 16$

#### Explanation:

If your looking to expand these out:

In mathematics, theres a well known rule in algebra called the difference in two squares, what should be committed to memory and understood how to apply:

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

This can be proved via simply expanding out

Applying this rule:

$a = x , b = 4$

$\implies {a}^{2} - {b}^{2} = {\left(x\right)}^{2} - {4}^{2}$

$\implies {x}^{2} - 16$