(f-4)3
Use the Binomial Theorem.
f3+3f2⋅-4+3f(-4)2+(-4)3
Multiply -4 by 3.
f3-12f2+3f(-4)2+(-4)3
Raise -4 to the power of 2.
f3-12f2+3f⋅16+(-4)3
Multiply 16 by 3.
f3-12f2+48f+(-4)3
Raise -4 to the power of 3.
f3-12f2+48f-64
f3-12f2+48f-64
Simplify (f-4)^3
