Simplify the following expression:
4×4×4
(8.25)
3
−3×(8.25)
2
×0.25+24.75×(0.25)
2
−(0.25)
3

​

Let a=8.25 and b=0.25.
Notice that 24.75=3×8.25=3a.
So the numerator can be rewritten as:

a
3
−3a
2
b+3ab
2
−b
3

This is the standard expansion for (a−b)
3
.
Substituting a and b back into the formula:

Numerator=(8.25−0.25)
3
=(8)
3
=512
The denominator is:

Denominator=4×4×4=64
Thus, the value of the expression is:

Value=
64
512
​
=8