Question

(a-b)^3
prove that Please

Answer 1

Answer:

(a-b)³=(a-b)(a-b)(a-b)

(a-b)³=(a-b)²(a-b)

(a-b)³=(a²-2ab+b²)(a-b)

(a-b)³=[(a²-2ab+b²)(a)]-[(b)(a²+b²-2ab)]

(a-b)³=[a(a²)+(-2ab)(a)+(a)(b²)]-[(b)(a²)+(b)(b²)+(-2ab)(b)]

(a-b)³=[a³-2a²b+ab²]-[a²b+b³-2a²b]

(a-b)³=a³-2a²b+ab²-a²b-b³+2a²b

(a-b)³=a³-b³-3a²b+3ab²

(a-b)³=a³-b³-3ab(a-b) prooved