Teaching DSSSB TGT Mock Test 2025 Quantitative Aptitude Algebra Identities

If \(x=a+b+\frac{(a-b)^2}{4 a+4 b}\) and \(y=\frac{a+b}{4}+\frac{a b}{a+b}\) then what is the value of (x - a)2 - (y - b)2 ?

1
a2
2
b2
3
ab
4
a2b2
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