Question

Please divide and simplify: x^2-16/x+7 divided by 3x-12/x^2-49

Answer 1

I would greatly appreciate your help!

Answer 2

x²-16/x+7 x² - 16 x² - 49 x² - 4² x² - 7²
------------ = ------- * -------- = ------- * --------
3x-12/x²-49 x + 7 3x - 12 x + 7 3x - 12

(x+4) (x-4) (x+7) (x-7)
= ----------- * -----------
x+7 3 (x-4)

Cancelling out the common factors from numerator and denominator, we get
(x+4) (x-7) x² + 4x - 7x - 28 x² - 3x - 28
= ----------- = ---------------- = -------------
3 3 3