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How do you simplify #((a-2)^2(a-5)^3)/((a-2)^3(a-5))#?

Answer 1

Eva Abramson

#=(a-5)^2/(a-2)#

#((a-2)^cancel(2) (a-5)^cancel(3))/((a-2)^cancel(3) (cancel(a-5))# #=(a-2)^-1(a-5)^2# #=(a-5)^2/(a-2)#

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Answer 2

Eva Adamson

To simplify the expression ((a-2)^2(a-5)^3)/((a-2)^3(a-5)), we can cancel out common factors in the numerator and denominator. Since both terms have (a-2) and (a-5), we can cancel them out. Simplifying further, we get (a-5)/(a-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.

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