1/x-a-1/a-b=1/b-1/a
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Answer:
1/(x-a) -1/(a-b) = 1/b - 1/a
=> 1/(x-a) = 1/(a-b) + 1/b - 1/a
=> 1/(x-a) = 1/(a-b) + (a-b)/ab
=> 1/(x-a)
= (ab + a^2 + b^2 + 2ab) /ab(a-b)
=> (x-a)
= ab(a-b)/(a^2 + b^2 + 3ab)
=> x
= a + (ab(a-b)/(a^2 + b^2 + 3ab))
=> x
= (a^3 + a(b^2) + 3(a^2)b + (a^2)b -a(b^2))/(a^2 + b^2 + 3ab))
=> x
= (a^3 + 4(a^2)b)/(a^2 + b^2 + 3ab))
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