Question

Solve the square using the binomial squares pattern.

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

Short answer

The solution is$q^2+24q+144$.

Step-by-step solution

Step 1. Given information.

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

Step 2. Simplify the given expression by using the binomial squares pattern a+b2=a2+2ab+b2.

Solve it as follows:

$$\begin{gathered} \to {\left(q+12\right)}^2={\left(q\right)}^2+2\times q\times 12+\left(12\right) \\ =q^2+24q+144 \end{gathered}$$

Step 3. Binomial squares expression

Hence, the binomial squares pattern are $q^2+24q+144$.