Question

Simplify.
1+(2)/(y)/1-(4)/(y^2)

Answer 1

-4y^3 + 2/y/+ 1

Answer 2

Jim...thanks for jumping in.

Answer 3

np hang on one sec

Answer 4

\[\large \frac{1+\frac{2}{y}}{1-\frac{4}{y^2}}\]



\[\large \frac{y^2*1+y^2*\frac{2}{y}}{y^2*1-y^2*\frac{4}{y^2}}\]



\[\large \frac{y^2+2y}{y^2-4}\]



\[\large \frac{y(y+2)}{(y+2)(y-2)}\]



\[\large \frac{y\cancel{(y+2)}}{\cancel{(y+2)}(y-2)}\]



\[\large \frac{y}{y-2}\]
So \[\large \frac{1+\frac{2}{y}}{1-\frac{4}{y^2}}=\frac{y}{y-2}\]

Answer 5

In the second step, I multiplied EVERY term by the inner LCD y^2 to clear out the inner fractions. From there I factored and simplified.

Answer 6

Good job.

Answer 7

thx

Answer 8

You are really smart. I am a fan.