Question

find the difference.
\\((3x^2 + 9x + 13) - (x^2 - 2x + 12) = \square\\)

Explanation:

Step1: Distribute the negative sign

$(3x^2 + 9x + 13) - x^2 + 2x - 12$

Step2: Combine like $x^2$ terms

$3x^2 - x^2 = 2x^2$

Step3: Combine like $x$ terms

$9x + 2x = 11x$

Step4: Combine constant terms

$13 - 12 = 1$

Step5: Combine all simplified terms

$2x^2 + 11x + 1$

Answer:

$2x^2 + 11x + 1$