Question

use a vertical format to subtract the polynomials.
$2x^2 - 3x + 8$
$- (12x^2 + 8x - 2)$

the difference is $\square$. (simplify your answer.)

Explanation:

Step1: Distribute the negative sign

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

Step2: Combine like $x^2$ terms

$(2x^2 - 12x^2) = -10x^2$

Step3: Combine like $x$ terms

$(-3x - 8x) = -11x$

Step4: Combine constant terms

$(8 + 2) = 10$

Step5: Combine all simplified terms

$-10x^2 - 11x + 10$

Answer:

$-10x^2 - 11x + 10$