Question

factories a^3+b^3-a(a^2+b^2)+b(a+b)^2 by difference of two cube.
the answer is b(a+b)(a+2b)
tell me step by step explaination.​

Answer 1

STEP BY STEP :-

we need to factories a^3- a^2 - b^2 - ab + b^3

writting term with common factor aside,

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

a^2 (a - b^2) -b (a - b^2)

=(a^2-b) (a - b^2)

ANSWER :- THUS FACTOR ARE (a^2 - b^2),(a - b^2)

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