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A/ab-bsquare + b/ab-asquare?​

User Theillien
by
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1 Answer

5 votes

Answer:


((a+b))/(ab)

Explanation:

The given expression is :


(a)/(ab-b^2)+(b)/(ab-a^2)

It can be solved as follows :


(a)/(ab-b^2)+(b)/(ab-a^2)=(a)/(b(a-b))+(b)/(a(b-a))\\\\=(a)/(b(a-b))+(b)/(-a(-b+a))\\\\=(1)/(a-b)((a)/(b)-(b)/(a))\\\\=(a^2-b^2)/(ab(a-b))\\\\=((a-b)(a+b))/(ab(a-b))\\\\=((a+b))/(ab)

So, the solution of the given expression is equal to
((a+b))/(ab).

User Marlenny
by
3.3k points