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How do you simplify #(y^2-22y+121)/(2y^2-16y-66#?

Answer 1

Eli Assouline

#((y-11))/(2(y+3))#

With algebraic fractions, try to find factors..

#(y^2-22y+121)/(2y^2-16y-66)" "(larr" quadratic trinomial")/(larr"common factor")#

#= ((y-11)(y-11))/(2(y^2-8y-33))" "(larr" factored")/(larr"quadratic trinomial")#

#= ((y-11)(y-11))/(2(y-11)(y+3))#

#= (cancel((y-11))(y-11))/(2(cancel(y-11))(y+3))#

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Answer 2

Ethan Adkins

To simplify the expression (y^2-22y+121)/(2y^2-16y-66), we can factor both the numerator and denominator. The numerator can be factored as (y-11)^2, and the denominator can be factored as 2(y+3)(y-11).

Therefore, the expression simplifies to (y-11)^2 / [2(y+3)(y-11)].

Next, we can cancel out the common factor of (y-11) in the numerator and denominator.

The simplified expression is (y-11) / [2(y+3)].

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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.