Question

How do you simplify and what is the answer

Answer 1

factoring the denominators gives

7 / (x - 9)(x + 9) - x - 4 / (3x + 2 )(x - 9)

LCD = (x - 9)(x + 9)(3x + 2)

so this becomes 7(3x + 2) - (x - 4)(x + 9) / (x - 9)(x + 9)(3x + 2)

= 21x + 14 - (x^2 + 5x - 36) / (x - 9)(x + 9)(3x + 2)

= -x^2 - 16x + 50 / (x - 9)(x + 9)(3x + 2) answer

Answer 2

To simplify you must factor the polynomials first.