Factorisation class 9 properties | Maths properties

1)(a+b)^2 = a^2 + 2ab + b^2

2)(a-b)^2 = a^2 -2ab + b^2

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

4)(x+a)(x+b) = x^2 + (a+b)x + (ab)

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

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

7)(a+ b + c)^2 = a^2 + b^2 + c^2 +2ab +2bc + 2ca

8)a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca)