binomial expansion

Question

Please verify my solution.

expand and simplify the following

(8√t - 5)³

my answer

512^3/2 - 960t + 600√t - 125

thanks

Answer 1

Looks like you are missing a factor/power-of-t in the first term of your expansion--should be:

512t^3/2

^{BTW, you could confirm the answer yourself by doing something like this on Desmos online graphing calculator:}

f(x) = (8√x - 5)³

g(x) = 512x^3/2 -960x +600√x - 125

Then compare the graphs and/or create a table of values for each function.