Question

Identify the equivalent expression in the equation (1)/(x^(2)-x)+(1)/(x)=(5)/(x^(2)-x) and demonstrate multiplying by the common denominator. (1 point)

Answer 1

The common denominator for the equation is (x^2 - x).

To find the equivalent expression, we can multiply each term in the equation by the common denominator.

First, we'll multiply the left side of the equation:
((1)/(x^(2)-x)) * (x^2 - x) + ((1)/(x)) * (x^2 - x)

This simplifies to:
1 + (x^2 - x)/(x)

Next, we'll multiply the right side of the equation:
((5)/(x^(2)-x)) * (x^2 - x)

This simplifies to:
5

Therefore, the equivalent expression is:
1 + (x^2 - x)/(x) = 5