Calculate the functions

f(x) = (1 - x)⁸ g(x) = 1 - 8x + 28x² - 56x³+ 70x⁴ - 56x⁵ + 28x⁶ - 8x⁷ + x⁸

for -0.01 x 0.01 in steps of 0.001. Calculate all powers using a loop:

t = x // t will be x^n

for i = 2 to n do t = t * x

Print out a table of values, with 4 columns: x, f(x), g(x), and f(x) - g(x). Do this twice, once with floats and once with doubles. Note that f(x) and g(x) are mathematically equivalent, but may differ numerically, due to round-off error.