Question

perform the operation.

$(-6x^2 + x - 6) - (4x^2 - 6x - 4)$

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial from the first, we distribute the negative sign to each term in the second polynomial:
\((-6x^{2}+x - 6)-4x^{2}+6x + 4\)

Step2: Combine like terms

• For the \(x^{2}\) terms: \(-6x^{2}-4x^{2}=-10x^{2}\)
• For the \(x\) terms: \(x + 6x=7x\)
• For the constant terms: \(-6 + 4=-2\)

Combining these results, we get: \(-10x^{2}+7x - 2\)

Answer:

\(-10x^{2}+7x - 2\)