Question

Expand:

(4x-x^2)^3

Answer 1

\[(4x-x^2)^3=(4x-x^2)(4x-x^2)(4x-x^2)\]
If we take this two terms at a time, we have:
\[(4x-x^2)(4x-x^2)=16x^2-4x^3-4x^3+x^4\]
Now multiply this by the third term.
\[(16x^2-8x^3+x^4)(4x-x^2)=64x^3-16x^4-32x^4-8x^5+4x^5-x^6\]
Simplify by adding like terms, and you are finished.