Question

Answer 1

a) \(=\left(a+b\right)^3\)

b) \(=\left(a-b\right)^3\)

c) \(=a^3-b^3\)

d) \(=a^3+b^3\)

Answer 2

a) \(\text{(a+b)}^2.\left(a+b\right)=\left(a+b\right)^3\)

b) \(\left(a-b\right)^2.\left(a-b\right)=\left(a-b\right)^3\)

c) \(\left(a-b\right)\left(a^2+ab+b^2\right)\)\(=a^3-b^3\)

d) \(\left(a+b\right)\left(a^2-ab^2+b^2\right)=a^3+b^3\)

Answer 3

a) \(\left(a+b\right)^2\cdot\left(a+b\right)=\left(a+b\right)^3\)

b) \(\left(a-b\right)^2\cdot\left(a-b\right)=\left(a-b\right)^3\)

c) \(\left(a-b\right)\left(a^2+ab+b^2\right)=a^3-b^3\)

d) \(\left(a+b\right)\left(a^2-ab+b^2\right)=a^3+b^3\)