Question

(a-b)(a^2 + ab + b^2)​

Answer 1

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

Answer 2

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