1.(A+B )^2=A^2+2.AB+B^2
2.(A-B)^2=A^2-2.AB+B^2
3.A^2-B^2=(A+B).(A-B)
4.(A+B)^3=A^3+3.A^2.B+3.A.B^2+B^3
5.(A-B)^3=A^3-3.A^2.B+3.A.B^2-B^3
6.A^3+B^3=(A+B).(A^2-A.B+B^2)
7.A^3-A^3=(A-B).(A^2+AB+B^2)
1) \(\left(a+b\right)^2=a^2+2ab+b^2\)
2) \(\left(a-b\right)^2=a^2-2ab+b^2\)
3) \(a^2-b^2=\left(a-b\right)\left(a+b\right)\)
4) \(\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3\)
5) \(\left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3\)
6) \(a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)\)
7) \(a^3-b^3=\left(a-b\right)\left(a^2+ab+b^2\right)\)