Question

Simplify:

[1 / (x-3)] + [(4/x) / (4/x)] - [1 / (x-3)]

Answer 1

To simplify the expression, we can check if there are terms that are needed to be added or subtracted. In this case, there are none. we can multiply x*(x-3) to the denominator and numerator resulting to

[x + 4*(x-3)] / [4*((x-3)) -x] = 5x -12 / 3x -12.
the final answer is 5x -12 / 3x -12.