Chapter SH, Problem 2FOWP

Solution

To perform the indicated operation in the expression $\left(5y^2+7y\right)-\left(3y^2+9y-8\right)$ .

  $2y^2-2y+8$

Given:

The expression, $\left(5y^2+7y\right)-\left(3y^2+9y-8\right)$

Concept Used:

• Like terms are the terms that contain the same variable with similar exponents on it. Constants are like terms as well.
• In any expression, terms are separated by plus or minus signs.
• Coefficients are the constants in front of the variable terms.

Calculation:

In order to simplify the expression $\left(5y^2+7y\right)-\left(3y^2+9y-8\right)$ , remove the parenthesis and combine the like terms as shown below

  $\begin{array}{c}\left(5y^2+7y\right)-\left(3y^2+9y-8\right)=5y^2+7y-3y^2-9y+8\\ =5y^2-3y^2+7y-9y+8\\ =2y^2-2y+8\end{array}$

Thus, the given expression simplifies to $2y^2-2y+8$ .