Multiply.
-$(a-b)\left(a^{2}-a b-7 b^{2}\right)$
A) $a^{3}-6 a^{2} b+7 b^{3}$
B) $a^{3}-2 a^{2} b-6 a b^{2}+7 b^{3}$
C) $a^{3}-2 a^{2} b-7 a b^{2}+7 b^{3}$
D) $a^{3}-2 a^{2} b-8 a b^{2}-7 b^{3}$

Question

Quizplus · Accepted Answer

To multiply $(a-b)\left(a^{2}-a b-7 b^{2}\right)$, distribute each term in the first polynomial across the second polynomial: $a(a^2) - a(ab) - a(7b^2) - b(a^2) + b(ab) + b(7b^2)$. This simplifies to $a^3 - a^2b - 7ab^2 - a^2b + ab^2 + 7b^3$, which further simplifies to $a^3 - 2a^2b - 6ab^2 + 7b^3$.

Multiply - (a−b)(a2−ab−7b2)(a-b)\left(a^{2}-a b-7 b^{2}\right)(a−b)(a2−ab−7b2) A) a3−6a2b+7b3a^{3}-6 a^{2} b+7 b^{3}a3−6a2b+7b3 B) a3−2a2b−6ab2+7b3a^{3}-2 a^{2} b-6 a b^{2}+7 b^{3}a3−2a2b−6ab2+7b3

Multiply
- $(a-b)\left(a^{2}-a b-7 b^{2}\right)$ A) $a^{3}-6 a^{2} b+7 b^{3}$ B) $a^{3}-2 a^{2} b-6 a b^{2}+7 b^{3}$