Problem 26 of 7
Divide and simplify rational expressions: (x-7)/(x^2-49) divided by (1)/(7-x).
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
multiply by reciprocal and factor/cancel.
Hidden until you reveal it.
Multiply by reciprocal of the divisor and preserve restrictions from original denominator and divisor expression.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Rewrite division as multiplication by reciprocal.
2. Factor all pieces.
3. Cancel common factors and state restrictions.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Flipping the first fraction instead of the divisor.