Question

n the operation.
$(3x^2 + 10) - (-7x^2 - 9x)$

Explanation:

Step1: Remove the parentheses

To remove the parentheses, we need to distribute the negative sign to the terms inside the second parentheses. Remember that \(-(-a - b)=a + b\). So, \((3x^{2}+10)-(-7x^{2}-9x)=3x^{2}+10 + 7x^{2}+9x\).

Step2: Combine like terms

Now, we combine the like terms. The like terms for \(x^{2}\) are \(3x^{2}\) and \(7x^{2}\). Combining them, we get \(3x^{2}+7x^{2}=10x^{2}\). The term \(9x\) has no other like terms, and the constant term \(10\) also has no other like terms. So, putting it all together, we have \(10x^{2}+9x + 10\).

Answer:

\(10x^{2}+9x + 10\)