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2(x-y)^2-9(x-y)z-5z^2Factor it

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feelthewind | Student, Grade 9 | eNoter

Posted October 9, 2011 at 11:53 AM via web

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2(x-y)^2-9(x-y)z-5z^2

Factor it

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hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted October 9, 2011 at 12:28 PM (Answer #1)

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`2(X-Y)^2 - 9(X-Y)Z - 5Z^2 = 0`

Multiply by -1 both sides.

`==> 5z^2 +9(x-y)z -2(x-y)^2 = 0`

Let (x-y)= A

==> `5z^2 +9Az- 2A^2 = 0`

`==> (5z +A)(z-2A) = 0`

`==> (5z+(x-y))(z-2(x-y)) = 0`

`==> (5z+x-y) (z-2x+2y) = 0`

`==> 2(x-y)^2 -9(x-y)z -5z^2 = (5z+x-y)(z-2x+2y)`

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