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

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Solution

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

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