Question

simplify ((24x^3 - 16x^2) - (6x^3 + 18x^2 - 14)).
a. (9x^3 + x^2 - x + 7)
b. (18x^3 - 34x^2 + 14)
c. (15x^3 - 17x^2 - x - 7)
d. (15x^3 + x^2 + x - 7)

Explanation:

Step1: Distribute the negative sign

$(24x^3 - 16x^2) - 6x^3 - 18x^2 + 14$

Step2: Combine like $x^3$ terms

$24x^3 - 6x^3 = 18x^3$

Step3: Combine like $x^2$ terms

$-16x^2 - 18x^2 = -34x^2$

Step4: Combine constant terms

$+14$

Step5: Combine all simplified terms

$18x^3 - 34x^2 + 14$

Answer:

B. $18x^3 - 34x^2 + 14$