In the 3rd. line of your solution:Can anybody tell me what I am doing wrong?
View attachment 18574
LCD = (v+1)(v-1)
v (v-1)/(v+1)(v-1) + 3(v+1)/(v-1)(v+1) - 6/(v-1)(v+1)
v-1/(v+1)(v-1) + 3v+3/(v+1)(v-1) -6/(v+1)(v-1) <<<< I believe I am doing something wrong with the subtraction and distributing it to the 6 to create a -6?
Numerator = v+3v-1+3-6 = 4v-4
4(v-1)/(v+1)(v-1)
4/v+1
The original post also has the same mistake. You wrote:One comment: what you have written, \(\displaystyle v+ 3/v+ 1= v+ \frac{3}{v}+ 1\) is wrong! You should have \(\displaystyle \frac{v+ 3}{v+ 1}= (v+3)/(v+ 1)\). Parentheses are important!