simplify 12xy 1x2y2 simplify 12xy 1x2y2 simplify 12xy 1x2

Solution

1/2xy -1/(x^2+y^2)

the LCD is (x^2+y^2)*2xy

=> make the denominator in both the terms the same as the LCD

=> (x^2+y^2)/[(x^2+y^2)*2xy] - 2xy/[(x^2+y^2)*2xy]

now add the terms in the numerator

=>[x^2 + y^2 - 2xy]/[(x^2+y^2)*2xy]

using the identity (a-b)^2 = a^2 -2ab +b^2 in the numerator

=> (x - y)^2/[(x^2+y^2)*2xy] -------> this is the simplified expression