Mathematics
Factorise :
4(2x - 3y)2 - 8x + 12y - 3
Factorisation
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Answer
Given,
4(2x - 3y)2 - 8x + 12y - 3
= 4(2x - 3y)2 - 4(2x - 3y) - 3
Substituting (2x - 3y) = a, we get :
= 4a2 - 4a - 3
= 4a2 - 6a + 2a - 3
= 2a(2a - 3) + 1(2a - 3)
= (2a + 1)(2a - 3)
= [2(2x - 3y) + 1][2(2x - 3y) - 3]
= (4x - 6y + 1)(4x - 6y - 3).
Hence, 4(2x - 3y)2 - 8x + 12y - 3 = (4x - 6y + 1)(4x - 6y - 3).
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