Mathematics
Factorise :
(x - 2y)2 - 12(x - 2y) + 32
Factorisation
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Answer
(x - 2y)2 - 12(x - 2y) + 32
= (x - 2y)2 - (8 + 4)(x - 2y) + 32
= (x - 2y)2 - 8(x - 2y) - 4(x - 2y) + 32
= [(x - 2y)2 - 8(x - 2y)] - [4(x - 2y) - 32]
= (x - 2y)[(x - 2y) - 8] - 4[(x - 2y) - 8]
= [(x - 2y) - 8][(x - 2y) - 4]
= [x - 2y - 8][x - 2y - 4]
Hence,(x - 2y)2 - 12(x - 2y) + 32 = [x - 2y - 8][x - 2y - 4]
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