Q.217. - Intermediate Algebra

Question

Solve the square using the binomial squares pattern.

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

Step-by-Step Solution

Answer

The solution is $q^2+24q+144$.

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 + b 2 = a 2 + 2 a b + b 2 .

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 $q^2+24q+144$.