(a - b) (a² + ab + b^2
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(a-b)(a²+ab+b²) = a³-b³
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Answered by
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Answer:the answer is (a-b)^3.
=(a-b) (a^2 + ab + b^2)
= a ( a^2 + ab + b^2) - b ( a^2 + ab + b^2)
= a^3 + a^2b + ab^2 - a^2b - ab^2 - b^3
the + a^2b and - a^2b are cancelled each other.
and the + ab^2 and - ab^2 are cancelled each other.
Now the ans is
= a^3 - b^3
= ( a - b )^3 ( because both a and b have same power )
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