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Byju's Answer
Standard IX
Mathematics
Polynomials
Factorise 9x-...
Question
Factorise
9(x-2y)^2-4(x-2y)-13
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Solution
Put (x − 2y) = a
∴ 9(x − 2y)
2
− 4(x − 2y) − 13 = 9a
2
− 4a − 13
= 9a
2
− 13a + 9a − 13
= a(9a
− 13) + 1(9a − 13)
= (9a
− 13)(a + 1)
= [9(x − 2y)
− 13][(x − 2y) + 1]
= [9x − 18y
− 13][x − 2y + 1]
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