Question

add: ((4x^2 - 3x + 6) + (x^2 + 5x - 2))

Explanation:

Step1: Remove parentheses

To add the two polynomials, we first remove the parentheses. The expression becomes \(4x^2 - 3x + 6 + x^2 + 5x - 2\).

Step2: Combine like terms

• For the \(x^2\) terms: \(4x^2 + x^2 = 5x^2\)
• For the \(x\) terms: \(-3x + 5x = 2x\)
• For the constant terms: \(6 - 2 = 4\)

Combining these results, we get \(5x^2 + 2x + 4\).

Answer:

\(5x^2 + 2x + 4\)