Question

Which of the following is the quotient of the rational expressions shown here?

Answer 1

The answer is option A. (x^2 + x)/(x-1)

Explanation:

To solve this problem, we must first understand how to divide fractions. When dividing fractions, the first fraction is unchanged and is multiplied by the reciprocal of the second fraction. If we apply this knowledge to this problem, we get:

x/x-1 * x+1/1

When we multiply fractions, we simply multiply both of the numerators together and both of the denominators together to create a single fraction.

In this case we get:

x(x+1)/x-1

When we simplify this single fraction by using the distributive property, we get the following:

(x^2 + x)/(x-1)

Therefore, your answer is option A.

Hope this helps!

Answer 2

For this case we must find the quotient of the following expression:

`\frac {\frac {x} {x-1}} {\frac {1} {x + 1}}`

Applying double C we have the following expression:

`\frac {x (x + 1)} {x-1} =`

Applying distributive property to the terms within the parentheses of the numerator we have:

`\frac {x ^ 2 + x} {x-1}`

Thus, the quotient is given by option A

Answer:

Option A