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

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Solution

$(a^{2} - b^{2}) (a^{2} + b^{2}) = (a^{2})^{2} - (b^{2})^{2} = a^{4} - b^{4}$ [ $∵ (a + b) (a - b) = a^{2} - b^{2}$ ]

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

Question 84 (ix)

Simplify

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

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

a^{4} - b^{4}

1

0

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

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