Question

question
perform the operation.
$(4x^2 - 10x) + (2x^2 + 5x - 5)$

Explanation:

Step1: Remove parentheses

To add the two polynomials, we first remove the parentheses. Since there is a plus sign in front of both parentheses, the signs of the terms inside remain the same. So we have:
\(4x^{2}-10x + 2x^{2}+5x - 5\)

Step2: Combine like terms

Next, we combine the like terms. For the \(x^{2}\) terms: \(4x^{2}+2x^{2}=6x^{2}\). For the \(x\) terms: \(- 10x+5x=-5x\). The constant term is \(-5\) (since there is no other constant term to combine with it).
Putting it all together, we get:
\(6x^{2}-5x - 5\)

Answer:

\(6x^{2}-5x - 5\)