Question

factorise 6(x+y)sqare-x+y-15​

Answer 1

6(x+y)²-x+y-15

= 6 × (x² + 2xy + y²) - x + y - 15

= (6x² + 12xy + 6y²) - x + y - 15

= 3 × (2x² + 6xy + 2y² ) - x + y - 15

= 3 × (2x² + 2xy + xy - 2y²) - x + y - 15

= 3 × [x(2x + y) + 2y(y+2x)] - x + y - 15

= 3 × [(2x + y)(2y+x)] - x + y - 15

= 6x + 3y × 6y + 3x - x + y - 15

= 8x + 10y - 15

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