Chapter 5, Problem 1RP

Perform the operations indicated.

$(x^2-3x+5)+(-2x^2-7x+8)$

To determine

To calculate: The simplified form of the expression $\left(x^2-3x+5\right)+\left(-2x^2-7x+8\right)$.

Answer to Problem 1RP

Solution:

The simplified form is $\underset{\_}{-x^2-10x+13}$.

Explanation of Solution

Given:

$\left(x^2-3x+5\right)+\left(-2x^2-7x+8\right)$

Calculation:

Consider the following expression.

$\left(x^2-3x+5\right)+\left(-2x^2-7x+8\right)$.

Simplify the expression as, remove  the  parentheses  and combine like terms.

$\begin{array}{ccc}\hfill \left(x^2-3x+5\right)+\left(-2x^2-7x+8\right)& =& x^2-3x+5-2x^2-7x+8\hfill \\ \hfill & =& -x^2-10x+13\hfill \end{array}$

The simplified form of the expression is $-x^2-10x+13$.