Question

Answer 1

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

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

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

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

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

Answer 2

\(a,=a^2+2ab+b^2\\ b,=a^2-2ab+b^2\\ d,=a^3+2a^2b+ab^2+a^2b+2ab^2+b^3=a^3+3a^2b+3ab^2+b^3\\ e,=a^3-2a^2b+ab^2-a^2b+2ab^2-b^3=a^3-3a^2b+3ab^2-b^3\\ g,=a^3+a^2b+ab^2-a^2b-ab^2-b^3=a^3-b^3\)

Answer 3

Bài 2

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

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

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

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