9514 1404 393
Answer:
151 -25 = 126 is a factor of the difference of those cubes
Step-by-step explanation:
The expression can be factored as ...
a^3 -b^3 = (a -b)(a^2 +ab +b^2)
151^3 -25^3 = (151 -25)(151^2 +151·25 +25^2)
= 126(151^2 +151·25 +25^2)
That is, 126 is a factor of the difference of the given cubes. The difference is divisible by 126.
__
Your calculator tells you 151^3 -25^3 = 126 · 27201.
