Question

Evaluate (a + b)^3 + (a - b)^3​

Answer 1

Answer:

2a^3 +6ab^2

Step-by-step explanation:

(a+b)^3 = a^3+b^3+3ab(a+b)

(a - b)^3 =a^3-b^3-3ab(a-b)

(a+b)^3 + (a-b)^3

=a^3+b^3+3ab(a+b) +a^3-b^3-3ab(a-b)

=a^3+b^3+3a^2b+3ab^2+ a^3-b^3-3a^2b+3ab^2

=a^3 + a^3 +3ab^2 + 3ab^2

=2a^3 + 6ab^2