Q.244. - Intermediate Algebra

Question

Find the product of the below expression.

${\left(2r+12\right)}^2$

Step-by-Step Solution

Answer

The solution is $4r^2+48r+144$.

Step 1. Given information.

The given expression is ${\left(2r+12\right)}^2$.

Step 2. Simplify the given expression by using the binomial squares pattern a + b 2 = a 2 + 2 a b + b 2 .

Solve it as follows:

$$\begin{gathered} {\left(2r+12\right)}^2={\left(2r\right)}^2+2\times 2r\times 12+{\left(12\right)}^2 \\ \Rightarrow 4r^2+48r+144 \end{gathered}$$

Step 3. Simplified expression.

Hence, the required expression is $4r^2+48r+144$.