Question

27^3-125 factor completely

Answer 1

Answer: 19558

Explanation:

27^3 - 125

You can rewrite 125 as 5 cubed: 27^3 - 5^3

This is a difference of cubes, so you use the difference of cubes formula which is a^3-b^3 = (a-b)(a^2+ab+b^2)

So, 27^3- 5^3 = (27-5)(27^2+ (27*5)+ 5^2) = 22(729+135+25)= 22*889 = 19558