Question

Janet wants to solve the equation above, what should she multiply by both sides of this equation by

Answer 1

y^2 - 1.

Explanation:

We multiply by the Lowest Common Denominator of y + 1 and y^2 - 1 which is y^2 - 1. (Note y^2 - 1 = (y - 1)(y + 1) ).

Answer 2

For this case, we must bear in mind that:

`y ^ 2-1 = (y + 1) (y-1)`

So, if we multiply both sides of the equation by
`y ^ 2-1` we have:

`y (y ^ 2-1) + y ^ 2-5 = \frac {(y ^ 2 + y + 2) (y ^ 2-1)} {y + 1}\\y (y ^ 2-1) + y ^ 2-5 = \frac {(y ^ 2 + y + 2) (y + 1) (y-1)} {y + 1}\\y (y ^ 2-1) + y ^ 2-5 = (y ^ 2 + y + 2) (y-1)`

Thus, we must multiply by:

`y^ 2-1`

Answer:

`y ^ 2-1`