find factor

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find factor: x^2-2xy+y^2+3x-3y-4

Guest Dec 26, 2015

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Best Answer

find factor: x^2-2xy+y^2+3x-3y-4

$x^2-2xy+y^2+3x-3y-4\\ =(x^2-2xy+y^2)+(3x-3y)-4\\ =(x-y)^2+3(x-y)-4\\ \mbox{Let z=x-y}\\ =z^2+3z-4\\ =(z+4)(z-1)\\ =(x-y+4)(x-y-1)$

Melody Dec 26, 2015

Melody · Answer 1 · 2015-12-26T12:15:25

find factor: x^2-2xy+y^2+3x-3y-4

$x^2-2xy+y^2+3x-3y-4\\ =(x^2-2xy+y^2)+(3x-3y)-4\\ =(x-y)^2+3(x-y)-4\\ \mbox{Let z=x-y}\\ =z^2+3z-4\\ =(z+4)(z-1)\\ =(x-y+4)(x-y-1)$

CPhill · Answer 2 · 2015-12-26T01:39:06

Nice one, Melody.......I like how you did that.....!!!!

Melody · Answer 3 · 2015-12-26T03:12:12

Thanks Chris,

It was a neat question. :)