(2n) /(2n+2)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (2n)/(2n+2)

The expression (2n)/(2n+2) can be simplified by factoring out a common factor of 2 in the numerator and denominator. Here's how:

1. Factoring out 2:

• Numerator: 2n = 2 * n
• Denominator: 2n + 2 = 2 * (n + 1)

2. Simplifying the expression:

(2n)/(2n+2) = (2 * n) / (2 * (n + 1))

Since we have a 2 in both the numerator and denominator, we can cancel them out:

= n / (n + 1)

Therefore, the simplified expression is n/(n+1).

Important Note: This simplified expression is valid for all values of n except for n = -1. This is because when n = -1, the denominator becomes zero, which makes the expression undefined.

Example:

Let's say n = 3:

• Original expression: (2 * 3) / (2 * 3 + 2) = 6 / 8
• Simplified expression: 3 / (3 + 1) = 3 / 4

As you can see, both expressions evaluate to the same value.