FACTORISE X2y-y2x+z2y-y2z+z2x-x2z
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Posted by Shubham Roy 8 years, 7 months ago
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Rashmi Bajpayee 8 years, 7 months ago
The correct expression is
x2y - y2x - z2y + y2z + z2x - x2z
= x2y - x2z - y2x + z2x - z2y + y2z
= x2(y - z) - x(y2 - z2) + yz(y - z)
= x2(y - z) - x(y - z)(y + z) + yz(y - z)
= (y - z){x2 - xy - xz + yz}
= (y - z){x(x - y) - z(x - y)}
= (y - z)(x - y)(x - z)
= (x - y)(y - z)(x - z)
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