Question

In the following exercises, simplify the following expressions by combining like terms.

$5b^2+9b+10+2b^2+3b-4$

Short answer

The obtained expression is$7b^2+12b+6$.

Step-by-step solution

Step 1. Given Information

The given expression is$5b^2+9b+10+2b^2+3b-4$.

Step 2. Combine the like terms.

• Here, $5b^2,2b^2$are like terms, $9b,3b$are like terms and$10,4$are like terms, rearrange the expression by grouping the like terms.
• Combine the like terms by performing the indicated operation.

$5b^2+2b^2+9b+3b+10-4=7b^2+12b+6$

Step 3. Conclusion.

The simplified expression is$7b^2+12b+6$.