Question

perform the operation.

$(4x^2 - 10x) + (2x^2 + 5x - 5)$

Explanation:

Step1: Remove parentheses

Since we are adding the two polynomials, we can remove the parentheses directly: \(4x^{2}-10x + 2x^{2}+5x - 5\)

Step2: Combine like terms

• For the \(x^{2}\) terms: \(4x^{2}+2x^{2}=(4 + 2)x^{2}=6x^{2}\)
• For the \(x\) terms: \(-10x+5x=(-10 + 5)x=-5x\)
• The constant term remains \(-5\)

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

Answer:

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