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

1 answer

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.
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