Question

what is the simplified form of this expression?
$(3 - 13x - 7x^2) - (5x^2 + 12x - 10)$
a. $3x^2 - 25x - 2$
b. $-12x^2 - 25x - 7$
c. $-12x^2 - x - 7$
d. $-12x^2 - 25x + 13$

Explanation:

Step1: Distribute the negative sign

$3 - 13x - 7x^2 - 5x^2 - 12x + 10$

Step2: Combine like $x^2$ terms

$-7x^2 - 5x^2 = -12x^2$

Step3: Combine like $x$ terms

$-13x - 12x = -25x$

Step4: Combine constant terms

$3 + 10 = 13$

Step5: Assemble simplified expression

$-12x^2 -25x +13$

Answer:

D. $-12x^2 - 25x + 13$