Question #0bebb

2 Answers
Oct 1, 2017

(a-b)^3=a^3-3a^2b+3ab^2-b^3(ab)3=a33a2b+3ab2b3

Explanation:

(a-b)^3=a^3-3a^2b+3ab^2-b^3(ab)3=a33a2b+3ab2b3

Oct 1, 2017

(a - b)^3 = a^3 - b^3 - 3a^2b + 3ab^2(ab)3=a3b33a2b+3ab2

Explanation:

(a - b)^3(ab)3

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

(a - b)^3 = (a - b) [(a - b) (a - b)](ab)3=(ab)[(ab)(ab)]

(a - b)^3 = (a - b) [a^2 -ab -ab + b^2](ab)3=(ab)[a2abab+b2]

(a - b)^3 = (a - b) [a^2 -2ab + b^2](ab)3=(ab)[a22ab+b2]

(a - b)^3 = a (a^2 -2ab + b^2) - b (a^2 -2ab + b^2)(ab)3=a(a22ab+b2)b(a22ab+b2)

(a - b)^3 = a^3 -2a^2b + ab^2 - a^2b + 2ab^2 - b^3(ab)3=a32a2b+ab2a2b+2ab2b3

(a - b)^3 = (a^3 - b^3) + (- 2a^2b - a^2b) + (ab^2 + 2ab^2)(ab)3=(a3b3)+(2a2ba2b)+(ab2+2ab2)

(a - b)^3 = (a^3 - b^3) + (- 3a^2b) + (3ab^2)(ab)3=(a3b3)+(3a2b)+(3ab2)

(a - b)^3 = a^3 - b^3 - 3a^2b + 3ab^2(ab)3=a3b33a2b+3ab2