Mathematics 30 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Jim...thanks for jumping in.

jimthompson5910 (jim_thompson5910):

np hang on one sec

jimthompson5910 (jim_thompson5910):

$\large \frac{1+\frac{2}{y}}{1-\frac{4}{y^2}}$ $\large \frac{y^2*1+y^2*\frac{2}{y}}{y^2*1-y^2*\frac{4}{y^2}}$ $\large \frac{y^2+2y}{y^2-4}$ $\large \frac{y(y+2)}{(y+2)(y-2)}$ $\large \frac{y\cancel{(y+2)}}{\cancel{(y+2)}(y-2)}$ $\large \frac{y}{y-2}$ So $\large \frac{1+\frac{2}{y}}{1-\frac{4}{y^2}}=\frac{y}{y-2}$

jimthompson5910 (jim_thompson5910):

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.

OpenStudy (anonymous):

Good job.

jimthompson5910 (jim_thompson5910):

thx

OpenStudy (anonymous):

You are really smart. I am a fan.

Latest Questions
YoungBlood: STOP THE YELLOW NAME TAG SLANDER!
4 hours ago 11 Replies 2 Medals
Bubblezz: Art for @euphoriiic
6 hours ago 23 Replies 3 Medals
ilovemybf: i need more drawing ideas
8 hours ago 15 Replies 1 Medal
toga: what is a Mayuri
11 hours ago 3 Replies 1 Medal
Midnight97: Here is a beat I made let me know what y'all think
11 hours ago 24 Replies 2 Medals
toga: who thinks that there should be more titles
12 hours ago 5 Replies 0 Medals