Maths Formulas- ALGEBRA

Maths Formulas- ALGEBRA 

ALGEBRA :

1.(a+b)^2=a^2+2ab+b^2
2.(a-b)^2=a^2-2ab+b^2
3.(a+b)^2=(a-b)^2+4ab
4.(a-b)^2=(a+b)^2-4ab
5.a^2-b^2=(a+b)(a-b)
6.(a + b)3= a3+ b3+ 3ab(a + b)
7.a3+ b3= (a + b)3− 3ab(a + b);(a+b)^3-3ab(a+b)
8.(a − b)3= a3− b3− 3ab(a − b)
9.a3− b3= (a − b)3+ 3ab(a − b);(a-b)^3+3ab(a-b)
10.a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ac) =(a+b+c)*1/2*[(a-b)^2+(b-c)^2+(c-a)^2]
11.if a+b+c=0 then a^3+b^3+c^3=3abc
12.(a+b+c)^3=a^3+b^3+c^3+3(b+c)(c+a)(a+b)
13.a^2+b^2=(a+b)^2-2ab=(a-b)^2+2ab
14.(a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ca)
15.. a^n− b^n= (a − b)(a^n−1+ a^n−2*b + a^n
−3*b^2+ …..+b^n−1)