Question

Create a rational expression addition or subtraction question, which simplifies to:

Success Criteria
Your answer must satisfy the following conditions:

1. Each fraction has different and appropriate denominators.
2. Has restrictions: x = 15, -2, 0.
3. Is in the form (3x - 11) / (x^2 - 13x - 30).
4. Correctly simplifies to the given expression.

Answer 1

To create a rational expression addition or subtraction question that simplifies to (3x - 11) / (x^2 - 13x - 30), use appropriate denominators for each fraction and simplify the expression.

Step-by-step explanation:

To create a rational expression addition or subtraction question that simplifies to (3x - 11) / (x^2 - 13x - 30), we can use different and appropriate denominators for each fraction. Let's consider the following example:

Question: Simplify (8x - 3) / (x^2 - 13x - 30) - (5x + 2) / (x^2 - 13x - 30).

Step 1: Factor the denominator (x^2 - 13x - 30) as (x - 15)(x + 2).

Step 2: Rewrite the fractions with appropriate denominators. The first fraction will have (x - 15) as the denominator, and the second fraction will have (x + 2) as the denominator.

Step 3: Simplify the numerators by multiplying through the denominators.

Step 4: Combine the fractions by subtracting the numerators.

Step 5: Simplify the resulting expression by factoring, if possible.

Step 6: Check for any restrictions. In this case, x = 15, -2, 0 are restricted values.

Thus, a valid question that satisfies the given conditions is: Simplify (8x - 3) / (x - 15) - (5x + 2) / (x + 2).