Simplify 9/(x-1)*7/(x-3)

Problem

9/(x−1)⋅7/(x−3)

Solution

1. Identify the operation as the multiplication of two rational expressions.

2. Multiply the numerators together to find the new numerator.

9⋅7=63

3. Multiply the denominators together to find the new denominator.

(x−1)*(x−3)

4. Expand the denominator using the FOIL method (First, Outer, Inner, Last).

x2−3*x−x+3

5. Combine like terms in the denominator.

x2−4*x+3

6. Combine the results into a single fraction.

63/(x2−4*x+3)

Final Answer

9/(x−1)⋅7/(x−3)=63/(x2−4*x+3)

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