Question

a cube + b cube = (a+b) (a square -ab +b square) how? full detail.

Answer 1

Step-by-step explanation:

(a + b)^3 = a^3 + b^3 + 3a^2b +3ab^2

(a + b)^3 = a^3 + b^3 + 3a^2b +3ab^2 = a^3 + b^3 + 3ab(a+b)

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

( taking (a+b)as common from above equation)

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

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

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

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