Evaluate: (a^2 + 2ab + b^2)(a + b) - Vidyadip

Question

Evaluate: $(a^2 + 2ab + b^2)(a + b)$

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Answer

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

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