factorise (x-y) ² - 9
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4
(x-y)^3 -3^2
(x-y+3) (x-y-3)
(x-y+3) (x-y-3)
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9
(x-y)2 -9 = (x-y)2 - (3)2
= (x-y+3)(x-y-3) . [since a2-b2=(a+b)(a-b)
= (x-y+3)(x-y-3) . [since a2-b2=(a+b)(a-b)
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