How do you simplify #(y^2 + 2y - 3) / (y^2 - 3y + 2) # and what are the restrictions?

Answer 1

It is possible to factor both sides of the fraction:

#=((y-1)(y+3))/((y-1)(y-2))#
Restrictions: #y!=1and y!=2#

After that, you can reduce to:

#=(y+3)/(y-2)# graph{(x+3)/(x-2) [-32.47, 32.52, -16.23, 16.23]}
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Answer 2

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

The numerator can be factored as (y + 3)(y - 1), and the denominator can be factored as (y - 1)(y - 2).

By canceling out the common factor (y - 1) in both the numerator and denominator, we get the simplified form: (y + 3) / (y - 2).

The restriction for this expression is that y cannot be equal to 1 or 2, as these values would result in division by zero.

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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.

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.

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.

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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