Q. 259 - Intermediate Algebra

Question

In the following exercises , simplify the expression$(j^2 - 8j - 27) - ( j^2 + 2j - 12)$ .

Step-by-Step Solution

Answer

The simplified expression is $-10j-15$ .

Step 1. Given Information .

The given expression is $\left(j^2\hspace{0.17em}-\hspace{0.17em}8j\hspace{0.17em}-\hspace{0.17em}27\right)\hspace{0.17em}-\left(j^2\hspace{0.17em}+\hspace{0.17em}2j\hspace{0.17em}-\hspace{0.17em}12\right)$ .

Step 2. Simplify the given expression.

Simplify the expression $\left(j^2\hspace{0.17em}-\hspace{0.17em}8j\hspace{0.17em}-\hspace{0.17em}27\right)\hspace{0.17em}-\left(j^2\hspace{0.17em}+\hspace{0.17em}2j\hspace{0.17em}-\hspace{0.17em}12\right)$

$\begin{array}{rcl}\left(j^2\hspace{0.17em}-\hspace{0.17em}8j\hspace{0.17em}-\hspace{0.17em}27\right)\hspace{0.17em}-\left(j^2\hspace{0.17em}+\hspace{0.17em}2j\hspace{0.17em}-\hspace{0.17em}12\right)& =& j^2-8j-27-j^2-2j+12\\ j^2-8j-27-j^2-2j+12 & =& j^2-j^2-8j-2j-27+12\\ j^2-j^2-8j-2j-27+12& =& -10j-15\end{array}$