Chapter 14.4, Problem 7CYU

To determine

Tosimplify:the given equation.

Answer to Problem 7CYU

  $7x\left(x+2\right)+3x\left(x-5\right)=10x^2-x$

Explanation of Solution

Given:

The given equation: $7x\left(x+2\right)+3x\left(x-5\right)$

Calculation:

As thegiven equation is $7x\left(x+2\right)+3x\left(x-5\right)$ .

Simplify the equation by open the parenthesis, then

  $\begin{array}{l}7x\left(x+2\right)+3x\left(x-5\right)\\ =7x\left(x\right)+7x\left(2\right)+3x\left(x\right)-3x\left(5\right)\{\text{open the parenthesis}}\\ =7x^2+14x+3x^2-15x\{\text{simplify}}\\ =10x^2-x\left\{combinetheliketerms\right\}\end{array}$

Hence, the value of the given simplification is $7x\left(x+2\right)+3x\left(x-5\right)=10x^2-x$ .