Question

question
perform the operation.
(4x² - 6x + 1) - (5x² + 8x + 6)

Explanation:

Step1: Distribute the negative sign

$(4x^2 - 6x + 1) - 5x^2 - 8x - 6$

Step2: Combine like $x^2$ terms

$4x^2 - 5x^2 - 6x - 8x + 1 - 6 = -x^2 - 6x - 8x + 1 - 6$

Step3: Combine like $x$ terms

$-x^2 + (-6x - 8x) + 1 - 6 = -x^2 - 14x + 1 - 6$

Step4: Combine constant terms

$-x^2 - 14x + (1 - 6) = -x^2 - 14x - 5$

Answer:

$-x^2 - 14x - 5$