Simplify:
$(a - b) (a^{2} + a b + b^{2})$

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Solution

$(a - b) (a^{2} + a b + b^{2}) = a^{3} - b^{3}$

Formula:
$(x - y) (x^{2} + x y + y^{2}) = x^{3} - y^{3}$

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Question 84 (ix)

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$(a - b) (a^{2} + b^{2} + a b) - (a + b) (a^{2} + b^{2} - a b)$

Question 84 (ix)

Simplify

$(a - b) (a^{2} + b^{2} + a b) - (a + b) (a^{2} + b^{2} - a b)$

a^{3} - b^{3}

$(a + b) (a^{2} + b^{2} - a b)$ =

$The product (a + b) (a - b) (a^{2} - a b + b^{2}) (a^{2} + a b + b^{2})$ is equal to

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