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Mathematics

Factorise :

15(2x - y)2 - 16(2x - y) - 15

Factorisation

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Answer

15(2x - y)2 - 16(2x - y) - 15

= 15(2x - y)2 - (25 - 9)(2x - y) - 15

= 15(2x - y)2 - 25(2x - y) + 9(2x - y) - 15

= (15(2x - y)2 - 25(2x - y)) + (9(2x - y) - 15)

= 5(2x - y)(3(2x - y) - 5) + 3(3(2x - y) - 5)

= 10x - 5y(6x - 3y - 5) + 3(6x - 3y - 5)

= (6x - 3y - 5)( 10x - 5y + 3)

Hence, 15(2x - y)2 - 16(2x - y) - 15 = (6x - 3y - 5)( 10x - 5y + 3)

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