factorise ( a + b ) cube -8.
Anonymous:
both answers are wrong could u resend the question
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(a+b)^3 - (a-b)^3
(a+b)^3 = a^3 + b^3 + 3a^2b + 3ab^2
(a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2
(a+b)^3 - (a-b)^3 = a^3 + b^3 + 3a^2b + 3ab^2 - a^3 + b^3 + 3a^2b - 3ab^2
= 2b^3 + 6a^2b
= 2(b^3 + 3a^2b)
=
(a+b)^3 = a^3 + b^3 + 3a^2b + 3ab^2
(a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2
(a+b)^3 - (a-b)^3 = a^3 + b^3 + 3a^2b + 3ab^2 - a^3 + b^3 + 3a^2b - 3ab^2
= 2b^3 + 6a^2b
= 2(b^3 + 3a^2b)
=
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