Question

What is the simplified form of the quantity of x plus 6, all over the quantity of x plus 4 + the quantity of x minus 3, all over 3 ? (2 points)

Answer 1

(x² + 4x + 6)/ 3x + 12

This is the most simplified form

Explanation:

Let's simplify the expression:

(x + 6)/(x + 4) + (x - 3)/3

Least Common Denominator : 3 * (x + 4)

[3 * (x + 6) + (x - 3) (x + 4)]/ 3 * (x + 4)

Solving parentheses:

[3x + 18 + x² - 3x + 4x - 12]/ 3 * (x + 4)

Like terms:

(x² + 4x + 6)/ 3x + 12

This is the most simplified form