Solution
Expression : $$\ \frac{(a^{2}+b^{2})(a-b)-(a-b)^{2}}{a^{2}b-ab^{2}}$$
= $$\ \frac{(a-b)[(a^{2}+b^{2})-(a-b)]}{(ab)(a-b)}$$
= $$\frac{(a^2+b^2)-(a-b)}{ab}$$
= $$\frac{(a-b)^2+2ab-(a-b)}{ab}$$
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