Simplify the rational expression. State any excluded values.
4x-4/x-1
A. x
B. 4; where x ≠ 4
C. 0
D. 4; where x ≠ 1
D. 4; where x ≠ 1
The rational expression can be simplified by factoring out the greatest common factor in the numerator, which is 4. This gives:
4(x-1)/(x-1)
The (x-1) terms cancel out, leaving just 4 as the simplified expression. However, x cannot equal 1, since this would make the denominator zero and result in an undefined expression.