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Mathematics

Factorise the following:

b(c - d)2 + a(d - c) + 3c - 3d

Factorisation

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Answer

b(c - d)2 + a(d - c) + 3c - 3d = b(c - d)2 + a(-1)(c - d) + 3(c - d)

= (c - d)[b(c - d) - a + 3]

= (c - d)(bc - bd - a + 3).

Hence, b(c - d)2 + a(d - c) + 3c - 3d = (c - d)(bc - bd - a + 3).

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