Answer:
(x² + 3x - 6)/ 8x + 16
This is the most simplified form
Step-by-step explanation:
Let's simplify the expression:
(x + 9)/8 - (x + 3)/(x + 2)
Least Common Denominator : 8 * (x + 2)
[(x + 9)(x + 2) - 8(x + 3)]/ 8 * (x + 2)
Solving parentheses:
[ x² + 9x + 2x + 18 - 8x - 24]/ 8 * (x + 2)
Like terms:
(x² + 3x - 6)/ 8x + 16
This is the most simplified form