Q. 271 - Intermediate Algebra

Question

In the following exercises, simplify the equation $(11 - b)(11 + b)$.

Step-by-Step Solution

Answer

The simplified expression is $121-b^2$.

Step 1. Given Information.

The expression is $\left(11\hspace{0.17em}-\hspace{0.17em}b\right)\left(11\hspace{0.17em}+\hspace{0.17em}b\right)$.

Step 2. Simplify given equation.

Simplifying $\left(11\hspace{0.17em}-\hspace{0.17em}b\right)\left(11\hspace{0.17em}+\hspace{0.17em}b\right)$

Apply difference of two squares formula , we get:-

$\left(a-b\right)\left(a+b\right)=a^2-b^2$

$\begin{array}{rcl}\left(11-b\right)\left(11+b\right)& =& {11}^2-b^2\\ {11}^2-b^2& =& 121-b^2\end{array}$