Q. 258 - Intermediate Algebra

Question

In the following exercises . Simplify the expression$( x^2 - 4x - 34) - (x^2 + 7x - 6)$.

Step-by-Step Solution

Answer

The simplified expression is $-11x-28$.

Step 1. Given Information.

The given expression is $\left(x^2\hspace{0.17em}-\hspace{0.17em}4x\hspace{0.17em}-\hspace{0.17em}34\right)\hspace{0.17em}-\left(x^2\hspace{0.17em}+\hspace{0.17em}7x\hspace{0.17em}-\hspace{0.17em}6\right)$.

Step 2. Simplify the given expression.

Simplify the expression $\left(x^2\hspace{0.17em}-\hspace{0.17em}4x\hspace{0.17em}-\hspace{0.17em}34\right)\hspace{0.17em}-\left(x^2\hspace{0.17em}+\hspace{0.17em}7x\hspace{0.17em}-\hspace{0.17em}6\right)$

$\begin{array}{rcl}\left(x^2\hspace{0.17em}-\hspace{0.17em}4x\hspace{0.17em}-\hspace{0.17em}34\right)\hspace{0.17em}-\left(x^2\hspace{0.17em}+\hspace{0.17em}7x\hspace{0.17em}-\hspace{0.17em}6\right)& =& x^2-4x-34-x^2-7x+6\\ x^2-4x-34-x^2-7x+6& =& -11x-28\end{array}$