What is the factor of difference of two cubes, $a^{3} - b^{3}$ ?

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

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

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

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

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Solution

The correct option is C $(a - b) (a^{2} + a b + b^{2})$
The factor of difference of two cubes, $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$

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Similar questions

Question 84 (ix)

Simplify

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

Question 84 (ix)

Simplify

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

a^{3} - b^{3}

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

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

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