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factorise x(x-a)-y(y-a)
Asked by Jayasree C | 29 Jul, 2012, 03:44: PM Expert Answer
To factorise the above.

Let f(x) = x(x-a)-y(y-a)
=> f(x) = x- ax - y2+ ay
=> f(x) = x- y - ax + ay    { rearranging the quatities }
=> f(x) =  ( (x - y)(x+y) )  - a ( x -y )    { using a2 - b2 = (a+b) (a-b) }

Take (x - y) common  , we get
=> f(x) = (x - y) (x + y - a ) Answer
Answered by | 30 Jul, 2012, 02:14: AM

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