Question

question
perform the operation.
\\((9x^2 - 9x - 7) - (x^2 - 6x - 2)\\)

Explanation:

Step1: Distribute the negative sign

$(9x^2 - 9x - 7) - x^2 + 6x + 2$

Step2: Combine like $x^2$ terms

$9x^2 - x^2 - 9x + 6x - 7 + 2 = 8x^2 - 9x + 6x - 7 + 2$

Step3: Combine like $x$ terms

$8x^2 + (-9x + 6x) - 7 + 2 = 8x^2 - 3x - 7 + 2$

Step4: Combine constant terms

$8x^2 - 3x + (-7 + 2) = 8x^2 - 3x - 5$

Answer:

$8x^2 - 3x - 5$