I guess this is ???
[ a - b ] / [ a + b ] - {2ab ] / [ a^2 - b^2 ]
Factor the denominator of the second fraction
[ a - b ] / [ a + b ] - [ 2ab ] / [ (a + b) ( a - b) ]
Multiply the first fraction by [ a - b] in the numerator and denominator
[ (a - b) (a - b)] / [ (a + b) (a - b) ] - [2ab ] / [ (a + b) (a - b) ]
[ (a - b) (a - b) - 2ab ] / [ (a + b) ( a - b) ]
[ a^2 - 2ab + b^2 - 2ab ] / [ (a+ b) (a - b) ]
[ a^2 - 4ab + b^2 ] / [ a^2 - b^2 ]