Question

solve: x/a-a+b/x=b(a+b)/ax

Answer 1

x/a-a+b*x=b(a+b)
=>x2-a2-ab/ax=ab+b2/ax
=>x2-a2-ab=ab+b2
=>x2-a2-b2-2ab=0
=>x2-(a+b)2=0
=>x2=0
=>x=0

Answer 2

Answer:

Here is your answer!!!

Cross multiply in one side

On cross multiplying, we get

X2 - a2 - ab / ax = ab + b2 / ax

As the denominators are same they will get cancelled

X^2 - a^2 - ab = ab + b^2

X^2 = ab + b^2 + a^2 + ab

X^2 = a^2 + b^2 + 2ab

X^2 = (a+b)^2

X = +- a+b