Question

Perform the operation and combine to one fraction.
start fraction, x, divided by, x, minus, 7, end fraction, minus, start fraction, 7, divided by, x, end fraction
x−7
x
​
−
x
7

Answer 1

Compute a common denominator x(x − 7):

x/(x − 7) − 7/x = [x·x − 7·(x − 7)] / [x(x − 7)]
= [x^2 − 7x + 49] / [x(x − 7)].

Domain: x ≠ 0, 7.