Q.216 - Intermediate Algebra

Question

In the following exercises, square each binomial using the Binomial Squares Pattern.

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

Step-by-Step Solution

Answer

The square of the binomial is $w^2+8w+16$

Step 1. Given Information

Given binomial is $\left(w+4\right)$

The square of the binomial is to be determined using the Binomial Squares Pattern.

Step 2. Calculation

According to the Binomial Squares Pattern, ${\left(a+b\right)}^2=a^2+2ab+b^2$

Using the Pattern,

$$\begin{gathered} {\left(w+4\right)}^2={\left(w\right)}^2+2\left(w\right)\left(4\right)+{\left(4\right)}^2 \\ {\left(w+4\right)}^2=w^2+8w+16 \end{gathered}$$

Step 3. Conclusion

The square of the binomial is given by ${\left(w+4\right)}^2=w^2+8w+16$