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

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

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

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

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

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Solution

The correct option is A $(a - b + c) (a - b - c)$
$a^{2} - 2 a b + b^{2} - c^{2}$
$= (a - b)^{2} - c^{2}$ , Using $a^{2} - b^{2} = (a + b) (a - b)$
$= (a - b + c) (a - b - c)$

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Similar questions

Factorise:

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

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

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

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

a + b + c = m

a^{2} + b^{2} + c^{2} = n

2 (a b + b c + c a)

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