+128474 1/a + 1/b = 4/x (x + 2a) (x + 2b)
_______ + _______ =
[ a + b] 4 (x - 2a ) (x - 2b)
_______ = _____
ab x
( x + 2a) (x - 2b) + ( x + 2b) ( x - 2a)
[ a + b] x = 4ab __________________________________ =
( x - 2a) ( x - 2b)
2[ a + b]x = 8ab
x^2 + 2ax - 2bx - 4ab + x^2 + 2bx - 2ax - 4ab
_____________________________________ =
(x - 2a) ( x - 2b)
2x^2 - 8ab
______________ =
(x - 2a) (x - 2b)
2x^2 - 8ab
___________________ =
x^2 - 2 [ a + b]x + 4ab
2x^2 - 8ab
_________________________ =
x^2 -8ab + 4ab
2x^2 - 8ab
___________ =
x^2 - 4ab
2[ x^2 - 4ab]
___________ =
[x^2 - 4ab]
2
