# How do you simplify  (3x + 4)^2?

Oct 30, 2015

=color(blue)(9x^2+24x+16

#### Explanation:

${\left(3 x + 4\right)}^{2}$

As per identity:

color(blue)((a+b)^2=a^2+2ab+b^2

Here: $a = 3 x , b = 4$

Applying the same identity to the expression:

${\left(3 x + 4\right)}^{2} = {\left(3 x\right)}^{2} + 2 \cdot 3 x \cdot 4 + {4}^{2}$

=color(blue)(9x^2+24x+16