What is the simplified form of the quantity of x plus 9, all over the quantity of 8 − the quantity of x plus 3, all over the quantity of x plus 2 ? (2 points)

Respuesta :

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