# How do you multiply (x+4)^2?

Apr 8, 2015

${\left(x + 4\right)}^{2}$
means
$\left(x + 4\right) \times \left(x + 4\right)$

By the Distributive Property this can be written
$x \times \left(x + 4\right) + 4 \times \left(x + 4\right)$

Applying the Distributive Property again (but in the reverse form):
$\left({x}^{2} + 4 x\right) + \left(4 x + 16\right)$

Collecting like terms:
${x}^{2} + 8 x + 16$