I'm a bit confused on this one,
(1/x-a) + (1/x+a) <--- both divided by ( 1/x-a ) - (1/x+a)
Or :
(1/x-a) + (1/x+a)
______________
( 1/x-a ) - (1/x+a)
(Notice that these are fractions with fractions so it need to be flipped , thanks!)
Jerome J
Favorite Answer
(1/(x – a) + 1/(x + a)) / (1/(x – a) – 1/(x + a))
Remove fractions by multiplying by (x + a)(x – a)
=( (x + a) + (x – a) ) / ( (x + a) - (x – a) )
=( x + a + x – a ) / ( x + a – x + a )
Combine terms
= (2x) / (2a)
= x / a
Anonymous
Multiply the top and bottom by (x+a)(x-a). This gets rid of the fractions and leaves you with
[ (x+a) + (x-a) ] / [ (x+a) - (x-a) ]
You can simplify it from here.