1

Problem

Simplify \$(3q^2 - 2q + 5) + (4q^2 + 3q - 1)\$.

2

Step

The given expressions are

\$(3q^2 - 2q + 5) + (4q^2 + 3q - 1)\$

3

Step

Combine like terms with \$q^2\$:

\$3q^2 + 4q^2 = 7q^2\$

4

Step

Combine like terms with q:

-2q + 3q = q

5

Step

Constant terms:

5 -1 = 4

6

Step

Therefore, the simplified expression is:

\$7q^2 + q + 4\$

7

Solution

So, \$7q^2 + q + 4\$ is the simplified form of \$(3q^2 - 2q + 5) + (4q^2 + 3q - 1)\$.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

This does not match our simplified expression. The coefficients and constants are incorrect

Wrong \$q^2 + q - 4\$

10

Choice-B

This option is correct: The expression is accurately simplified

Correct \$7q^2 + q + 4\$

11

Choice-C

This does not match our simplified expression. The coefficients of \$q^2\$ and q are incorrect

Wrong \$q^2 - q + 4\$

12

Choice-D

The term involving q in option D is -q, but our simplified expression has +q instead. Therefore, option D is wrong

Wrong \$7q^2 - q + 4\$

13

Step

Option

B

14

Sumup

Please Summarize Choices