Question

Complex Rational Expression
1/a + 1/b
---------
1/a - 1/b
Medal will be awarded!!!!

Answer 1

\[\frac{ \frac{ 1 }{ a }+\frac{ 1 }{ b } }{ \frac{ 1 }{ a }-\frac{ 1 }{ b } } = \frac{ \frac{ b+a }{ ab } }{ \frac{ b-a }{ ab } }= (b-a)(b+a)=b^{2}-a^{2} \]

Answer 2

how come you multiplied by ab?

Answer 3

wait what did you multiply by for the common denominators?

Answer 4

I used this formula \[\frac{ a }{ b }+\frac{ c }{ d }=\frac{ ad -bc}{ bd }\]

Answer 5

I mean "+" on the right side.

Answer 6

Not minus