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How do you simplify #\frac { v - 2} { v ^ { 2} - 4v + 4}#?

Answer 1

Eva Abramson

#1/(v-2)#

We can factor the denominator - let's see if that helps:

#(v-2)/(v^2-4v+4)#

#(v-2)/((v-2)^2)#

We can now cancel the numerator against one of the #(v-2)# terms in the denominator:

#cancel(v-2)/((v-2)^cancel2)#

#1/(v-2)#

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Answer 2

Genesis Allen

To simplify the expression (\frac{v - 2}{v^2 - 4v + 4}), you first factor the denominator, which is a perfect square trinomial. It factors to ((v - 2)^2). Then, you can cancel out the common factor of (v - 2) in the numerator and the denominator. So, the simplified expression is (\frac{1}{v - 2}).

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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.