Question

Verify (a+b)³=a³b³+3ab(a+b)​

Answer 1

LHS

(a + b)^3

(a + b) (a + b)^2

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

a^3 + b^3 + 3a^2b + 3b^2a

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

RHS

LHS = RHS

Hence verified

Answer 2

Step-by-step explanation:

8.a3 – b3 = (a – b) (a2 + ab + b2 ). 9.a3 + b3 = (a + b) (a2 - ab + b2 ). 10.(a + b)2 + (a - b)2 = 4ab. 11.(a + b)2 - (a - b)2 = 2(a2 + b2 ). 12.If a + b +c =0, then a3 + b3 + c3 = 3 abc.