How do you simplify #(a+2)/(2+a)#?

Answer 1

Genesis Allen

Simplified, the answer is #1#.

The sum #2+a# is the same as #a+2#, so:

#color(white)=(a+2)/(2+a)#

#=(a+2)/(a+2)#

#=1#

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Answer 2

Eva Abramson

In adding, the order is not important.

So #2+a=a+2#

And the "issue" becomes:

#=(a+2)/(a+2)=1#

Note: The value of #a=-2# is forbidden, as this would lead to:

#0/0#, which is undefined. But you may pick #a# as close to #-2# as you wish, and the answer will still be #1#

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Answer 3

Kennedy Adams

To simplify (a+2)/(2+a), you can rewrite it as (a+2)/(a+2). This is because a+2 is the same as 2+a. Therefore, the simplified form is 1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.