The expression $a^{3} + b^{3} + c^{3} - 3 a b c$ can be expressed as a product of two expressions. What is the product?

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

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

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

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

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Solution

The correct option is D $(a + b + c) (a^{2} + b^{2} + c^{2} - a b - b c - c a)$
$a^{3} + b^{3} + c^{3} - 3 a b c = (a + b + c) (a^{2} + b^{2} + c^{2} - a b - b c - c a)$

Suggest Corrections

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