Question

What is the simplified form of x plus 2 over x squared minus 3x minus 10⋅ x minus 3 over x squared plus x minus 12 ? (6 points) Select one: a. 1 over the quantity x minus 3 times the quantity x plus 4 b. 1 over the quantity x minus 3 times the quantity x plus 2 c. 1 over the quantity x plus 4 times the quantity x minus 5 d. 1 over the quantity x plus 2 times the quantity x minus 5

Answer 1

The simplified form of the given expression is 1 / [(x - 3)(x + 4)(x + 2)].

Step-by-step explanation:

To simplify the expression x + 2 / x^2 - 3x - 10 * x - 3 / x^2 + x - 12, we need to find a common denominator for both fractions. The common denominator in this case is (x - 3)(x + 4)(x + 2). Once we have the common denominator, we can combine the two fractions and simplify.

Combining the fractions and simplifying, we get:

1 / [(x - 3)(x + 4)(x + 2)]

So the simplified form of the expression is 1 / [(x - 3)(x + 4)(x + 2)]. Therefore, the correct answer is b. 1 over the quantity x minus 3 times the quantity x plus 2.