Question

question
perform the operation.
(4x² - 10x) + (2x² + 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. The like terms for \(x^{2}\) are \(4x^{2}\) and \(2x^{2}\), for \(x\) are \(-10x\) and \(5x\), and the constant term is \(-5\).
Combining the \(x^{2}\) terms: \(4x^{2}+2x^{2}=(4 + 2)x^{2}=6x^{2}\)
Combining the \(x\) terms: \(-10x+5x=(-10 + 5)x=-5x\)
The constant term remains \(-5\) as there are no other constant terms to combine with it.

Putting it all together, we get:
\(6x^{2}-5x - 5\)

Answer:

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