Solve a(b ^ 2 - c ^ 2) + b(c ^ 2 - a ^ 2) + c(a ^ 2 -

Evaluate

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

Simplify

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

Simplify

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

Simplify

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

Evaluate

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

Calculate

- a^{2} b + a^{2} c + a c b - a c^{2} + b^{2} a - ba c - b^{2} c + b c^{2}

Rewrite the expression

- a \times ab + a \times a c + a c b - a c^{2} + bab - ba c - b c b + b c^{2}

Factor out - a from the expression

- a (ab - a c - c b + c^{2}) + bab - ba c - b c b + b c^{2}

Factor out b from the expression

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

Factor out ab - a c - c b + c^{2} from the expression

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

Solution

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(- a + b) (a - c) (b - c)

Simplify the expression