2 answers:
Answer:
a^3-b^3
Step-by-step explanation:
(a−b)(a2+ab+b2)
=(a+−b)(a2+ab+b2)
=(a)(a2)+(a)(ab)+(a)(b2)+(−b)(a2)+(−b)(ab)+(−b)(b2)
=a3+a2b+ab2−a2b−ab2−b3
=a3−b3
Multiply through the parentheses:
a^3 + b(a^2)+ a(b^2) - b(a^2) - a(b^2) - b^3
Simply by combing like terms:
a^3 - b^3
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