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Factorize : x^{2} + y - xy - x

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#### Solution

On rearranging

x^{2} - xy - x + y

Taking x common in the (x^{2} + y ) and -1 in (-x + y )

= x ( x - y ) -1( x - y )

Taking ( x - y ) common in both the terms

= ( x - y )( x -1)

∴ x^{2} + y - xy - x = ( x - y )( x -1)

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