Q. 274 - Intermediate Algebra

Question

In the following exercises , simplify the equation $\hspace{0.17em}{\left(m\hspace{0.17em}-\hspace{0.17em}15\right)}^2$.

Step-by-Step Solution

Answer

The simplified expression is $m^2-30m+225$.

Step 1. Given Information.

The expression is $\hspace{0.17em}{\left(m\hspace{0.17em}-\hspace{0.17em}15\right)}^2$.

Step 2. Simplify given equation.

Simplifying $\hspace{0.17em}{\left(m\hspace{0.17em}-\hspace{0.17em}15\right)}^2$

Apply perfect square formula , we get:-

$\begin{array}{rcl}{\left(a-b\right)}^2& =& a^2-2ab+b^2\\ {\left(m-15\right)}^2& =& m^2-2m·\hspace{0.17em}15+{15}^2\\ m^2-2m·\hspace{0.17em}15+{15}^2 & =& m^2-30m+225\end{array}$