Question

Perform the indicated operations, then simplify.

6x²/x² - 36 - 6x/x+6 + 6/x-6

A. 6x² - 6x + 6/(x-6) (x+6)
B. -30x + 36/(x+6) (x-6)
C. 42/x
D. 42x + 36/(x+6) (x-6)

Answer 1

To simplify the expression 6x²/x² - 36 - 6x/x+6 + 6/x-6, combine like terms and make sure the fractions have a common denominator. The simplified expression is 6x² - 6x - 30/(x+6)(x-6).

Step-by-step explanation:

To simplify the expression 6x²/x² - 36 - 6x/x+6 + 6/x-6, we need to combine like terms and make sure the fractions have a common denominator. Here are the steps:

1. Combine the numerators of the fractions: 6x² - 36 - 6x + 6
2. Find a common denominator for the fractions by multiplying the denominators: (x+6)(x-6)
3. Combine the fractions over the common denominator: (6x² - 36 - 6x + 6)/(x+6)(x-6)

Adding and simplifying the expression, we get 6x² - 6x - 30/(x+6)(x-6).