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How to simplify algebraic fractions ?

#(5x -15)/(3x^2 - 13x + 12)#

Answer 1

Genesis Allen

#(5x - 15)/(3x^2 - 13x + 12)#

You must factor everything to see if there are equal elements that you can eliminate.

#(5(x - 3))/((x - 9)(x - 4))#

Since nothing can be removed, our simplification is complete.

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Answer 2

Savannah Anderson

To simplify algebraic fractions, follow these steps:

Factor both the numerator and denominator completely.
Cancel out common factors between the numerator and denominator.
Rewrite the fraction with the remaining factors in the numerator and denominator.
Check if there are any further simplifications possible.

Repeat these steps until the fraction cannot be simplified any further.

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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.