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How do you simplify #(x^2-8x+12)/(x^2+3x-10)#?

Answer 1

Eva Abramson

#(x-6)/(x+5)#

#"Factor numerator/denominator and cancel common"# #"factors"#

#=((x-6)cancel((x-2)))/((x+5)cancel((x-2)))#

#=(x-6)/(x+5)#

#"with restriction "x!=-5#

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Answer 2

Savannah Anderson

To simplify the expression (x^2-8x+12)/(x^2+3x-10), we can factor both the numerator and the denominator.

The numerator can be factored as (x-6)(x-2), and the denominator can be factored as (x+5)(x-2).

Now, we can cancel out the common factor of (x-2) from both the numerator and the denominator.

Therefore, the simplified form of (x^2-8x+12)/(x^2+3x-10) is (x-6)/(x+5).

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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.