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

The given expressions are

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

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

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

Combine like terms with q:

-2q + 3q = q

Constant terms:

5 -1 = 4

Therefore, the simplified expression is:

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

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

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

\$q^2 + q - 4\$

Correct: The expression is accurately simplified

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

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

\$q^2 - q + 4\$

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

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

Option

B

Can you summarize what you’ve understood in the above steps?