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yawa3891 [41]
4 years ago
15

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)
Mathematics
1 answer:
11Alexandr11 [23.1K]4 years ago
6 0

Answer:

<u>(x² + 4x + 6)/ 3x + 12</u>

<u>This is the most simplified form</u>

Step-by-step 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:

<u>(x² + 4x + 6)/ 3x + 12</u>

<u>This is the most simplified form</u>

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