# How do you find the product (2b+3)^2?

Apr 13, 2017

$4 {b}^{2} + 12 b + 9$

#### Explanation:

Using an example:

In the same way that ${a}^{2} = a \times a \text{ }$we have:

${\left(2 b + 3\right)}^{2} \text{ "=" "(2b+3)xx(2b+3)" "=" } \left(2 b + 3\right) \left(2 b + 3\right)$

Multiply everything inside the right brackets by every thing in the left.

color(blue)((2b+3))color(green)((2b+3))" "->" "color(green)(color(blue)(2b)(2b+3)color(blue)(" "+" "3)(2b+3) )
$\text{ "->" "4b^2+6b" "+" } 6 b + 9$

$\text{ "->" } 4 {b}^{2} + 12 b + 9$