Question

Show that the following is true:

Answer 1

\[(T _{s}^{4}-T _{r}^{4})= (T _{s}^{3}+T_{s}^{2}T _{r}+T _{s}T _{r}^{2}+T _{r}^{3})(T _{s}-T _{r})\]

Answer 2

If it helps, the subscripts aren't particularly integral to the problem. You could replace with X and Y

Answer 3

just redistribute the X-Y in that last parenthesis into that huge load of a parenthesis. You'll find everything cancels out to equal the \[X ^{4} - Y ^{4}\] on the other side. Don't forget about that negative inside the wee parenthesis you have to redistribute!

Answer 4

Not sure how I failed to see that. It's part of a much larger biophysics question. Guess I'm more focused on that end of things. Thanks for the help. hehe