Q. 266 - Intermediate Algebra

Question

In the following exercises , simplify the equation $\left(s\hspace{0.17em}-\hspace{0.17em}7\right)\left(s\hspace{0.17em}+\hspace{0.17em}9\right)$ .

Step-by-Step Solution

Answer

The simplified expression is $s^2+2s-63$.

Step 1. Given Information.

The expression is $\left(s\hspace{0.17em}-\hspace{0.17em}7\right)\left(s\hspace{0.17em}+\hspace{0.17em}9\right)$ .

Step 2. Simplify given equation.

Simplifying $\left(s\hspace{0.17em}-\hspace{0.17em}7\right)\left(s\hspace{0.17em}+\hspace{0.17em}9\right)$

Applying Foil Method:-

$$\begin{gathered} \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd \\ \left(s-7\right)\left(s+9\right)=ss+s·\hspace{0.17em}9-7s-7·\hspace{0.17em}9 \\ ss+s·\hspace{0.17em}9-7s-7·\hspace{0.17em}9=ss+s·\hspace{0.17em}9-7s-7·\hspace{0.17em}9 \\ ss+s·\hspace{0.17em}9-7s-7·\hspace{0.17em}9=s^2+2s-63 \end{gathered}$$