Question

the operation.
$(-10x^2 + 4x) - (-4x^2 + 6x + 8)$

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial, we distribute the negative sign to each term inside the parentheses:
$$(-10x^2 + 4x) + 4x^2 - 6x - 8$$

Step2: Combine like terms for \(x^2\) terms

Combine \(-10x^2\) and \(4x^2\):
$$(-10x^2 + 4x^2) + 4x - 6x - 8 = -6x^2 + 4x - 6x - 8$$

Step3: Combine like terms for \(x\) terms

Combine \(4x\) and \(-6x\):
$$-6x^2 + (4x - 6x) - 8 = -6x^2 - 2x - 8$$

Answer:

\(-6x^2 - 2x - 8\)