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If tan^(-1)x+tan^(-1)y=pi/4, then write ...

If `tan^(-1)x+tan^(-1)y=pi/4,` then write the value of `x+y+x ydot`

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`tan^-1 x + tan^-1 y = pi/4`
`tan^-1((x+y)/(1-xy)) = pi/4`
`(x+y)/(1-xy) = tan (pi/4)`
`(x+y)/(1-xy) = 1`
`x+y = 1-xy`
`x+y+xy= 1`
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