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FACTORISE X2y-y2x+z2y-y2z+z2x-x2z

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FACTORISE

X²y-y²x+z²y-y²z+z²x-x²z

Posted by Shubham Roy 8 years, 2 months ago

CBSE > Class 09 > Mathematics

1 answers

Rashmi Bajpayee 8 years, 2 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)

0Thank You

ANSWER

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