Factorise:

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

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Solution

$a^{2} + b^{2} - c^{2} - d^{2} + 2 a b - 2 c d rearrange the terms , = a^{2} + b^{2} + 2 a b - c^{2} - d^{2} - 2 c d = (a^{2} + b^{2} + 2 a b) - (c^{2} + d^{2} + 2 c d) = (a + b)^{2} - (c + d)^{2} = [(a + b) + (c + d)] [(a + b) - (c + d)] = (a + b + c + d) (a + b - c - d)$

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

Factorise:

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

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Factorise:
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