Why Is My Algebraic Solution Incorrect?

[tinkus]

Homework Statement

2(1/t)/(1/t)^2+t * -1/t^2 + 2sqrtt/ (1/t)^2+t * 1/2sqrtt

Homework Equations

The Attempt at a Solution

my solution = -4t^3 + 3t^2+ 2t/t+ t^4
but incorrect

 

[Gib Z]

Okay, well, show us the steps you took to get to your solution? First try canceling out any common factors in the numerators and denominators, I can see a few.

 

[berkeman]

Homework Statement

2(1/t)/(1/t)^2+t * -1/t^2 + 2sqrtt/ (1/t)^2+t * 1/2sqrtt

Homework Equations

The Attempt at a Solution

my solution = -4t^3 + 3t^2+ 2t/t+ t^4
but incorrect

Re-writing in Latex to try to understand it better:

$$({2 \frac{1/t}{(1/t)^2 + t}}) ( \frac{-1}{t^2} + 2 \sqrt{\frac{t}{(1/t)^2 + t}} ) (\frac{1}{2 \sqrt{t}})$$

Did I guess right at your problem statement? If not, use my Latex as a starting point in a QUOTE reply, and fix it up. Then we can talk about your answer...

 

[tinkus]

((2/t)/((1/t^2)+t)) (-1/t^2 ) + ((2sqrtt) / ((1/t)^2)+t)) ( 1/2sqrtt)

 

[berkeman]

((2/t)/((1/t^2)+t)) (-1/t^2 ) + ((2sqrtt) / ((1/t)^2)+t)) ( 1/2sqrtt)

Several problems with your terse Reply:

-1- Which post are you responding to? Mine or Gib Z's?

-2- What are you showing us, the problem simplified, your attempt at a solution, or the solution?

-3- Why are you still not using Latex to post your math question? Do what I suggested and use Latex. Just use the QUOTE reply feature to get the simple Latex source for my response, and use that to post your math question.

I'd like to welcome you to the PF, but you're making it kind of hard...