Factorise 6x^2-5xy-4y^2+x+17y-15

Sol. 6×2-5xy-4y2+x+17y-15

6×2+x-5xy-4y2+17y-15

6×2+x(1-5y)-[4y2-17y+15]

6×2+x(1-5y)-[4y2-12y-5y+15]

6×2+x(1-5y)-[4y(y-3)-5(y-3)]

6×2+x(1-5y)-(4y-5)(y-3)

6×2+3(y-3)x-2(4y-5)x-(4y-5)(y-3)

6×2+3xy-9x-2(4y-5)x-(4y-5)(y-3)

3x(2x+y-3)-2(4y-5)x-(4y-5)(y-3)

3x(2x+y-3)-(4y-5)(2x+y-3)

(3x-4y+5)(2x+y-3)

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