Factorise $81 - (x + y)^{2}$

(x - y - 5) (81 - x)

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(x + y - 5) (81 + y)

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(9 - x + y) (9 + x + y)

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(9 + x + y) (9 - x - y)

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Solution

The correct option is B $(9 + x + y) (9 - x - y)$
$81 - (x + y)^{2} = (9)^{2} - (x + y)^{2}$
$= (9 + x + y) {9 - (x + y)} = (9 + x + y) (9 - x - y)$

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