Question

(4x² + 3x - 12) - (x² - 8x + 3)
simplify the following.
3x² + 11x - 9
3x² + 11x - 15
3x² - 5x - 9
4x² + 11x - 9

Explanation:

Step1: Distribute the negative sign

$(4x^2 + 3x - 12) - x^2 + 8x - 3$

Step2: Combine like $x^2$ terms

$4x^2 - x^2 + 3x + 8x - 12 - 3 = 3x^2 + 3x + 8x - 12 - 3$

Step3: Combine like $x$ terms

$3x^2 + (3x + 8x) - 12 - 3 = 3x^2 + 11x - 12 - 3$

Step4: Combine constant terms

$3x^2 + 11x + (-12 - 3) = 3x^2 + 11x - 15$

Answer:

$3x^2 + 11x - 15$