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Question
Factorise: 15(2x - y)2 - 16(2x - y) - 15
Sum
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Solution
15(2x - y)2 - 16(2x - y) - 15
= Let 2x - y = a, then
15a2 - 16a - 15
= 15a2 - 25a + 9a - 15
...{15 × (-15) = -225 , -225 = -25 × 9 , -16 = -25 + 9}
= 5a (3a - 5) + 3(3a - 5)
= (3a - 5)(5a + 3)
= [3 (2x - y) - 5][5 (2x - y) + 3]
= (6x - 3y - 5)(10x - 5y + 3)
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Factorisation by Difference of Two Squares
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