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How do you simplify #(10y-30)/(y^2-1)#?

Answer 1

Savannah Anderson

Through factorization:

#color(red)[10(y-3)]/(y^2-1)#

#[10(y-3)]/color(red)[(y)^2-(1)^2]#

Recall: #rArr (a)^2-(b)^2=(a+b)(a-b)#

So;

#color(green){[10(y-3)]/[(y+1)(y-1)]#

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Answer 2

Isaiah Anthony

To simplify (10y-30)/(y^2-1), you can factor the numerator and denominator. The numerator can be factored as 10(y-3), and the denominator can be factored as (y+1)(y-1). Cancel out the common factor of (y-3) from the numerator and denominator, leaving you with 10/(y+1)(y-1).

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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.