Question

How do you expand
(a+b)³​

Answer 1

Answer:

a³+b³+3ab(a+b)

=a³+b³+3a²b+3ab²

Answer 2

Step-by-step explanation:

(a+b)^3

(a+b)^3=(a+b)^2×(a+b)

(a+b)^3=(a+b)^2×(a+b)=a(a+b)^2+b(a+b)^2

(a+b)^3=(a+b)^2×(a+b)=a(a+b)^2+b(a+b)^2=a(a^2+2ab+b^2)+b(a^2+2ab+b^2)

(a+b)^3=(a+b)^2×(a+b)=a(a+b)^2+b(a+b)^2=a(a^2+2ab+b^2)+b(a^2+2ab+b^2)=a^3+2a^2b+ab^2+a^2b+2ab^2+b^3

(a+b)^3=(a+b)^2×(a+b)=a(a+b)^2+b(a+b)^2=a(a^2+2ab+b^2)+b(a^2+2ab+b^2)=a^3+2a^2b+ab^2+a^2b+2ab^2+b^3=a^3+3a^2b+3ab^2+b^3