SOLUTION: How do you factor this so that the final answer is 0? . x^2-16/x^2-5x+6 (as x approaches 4)

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Question 179438: How do you factor this so that the final answer is 0?
.
x^2-16/x^2-5x+6
(as x approaches 4)

Answer by Alan3354(21584) About Me  (Show Source):
You can put this solution on YOUR website!
How do you factor this so that the final answer is 0?
.
x^2-16/x^2-5x+6
(as x approaches 4)
=((x-4)*(x+4))/((x-2)*(x-3)
As x approaches 4, the (x-4) in the NUM approaches zero.