Question

4m的3次方乘以n-16mn的3次方的分解因式

Answer 1

(4m)^3x(n-16mn)^3=64m^3x(n-16mn)^2x(n-16mn)

=64m^3x(n^2+16^2m^2n^2-32mn^2)(n-16mn)

=64m^3x(n^3+16^2m^2n^3-32mn^3-16mn^3-16^3m^3n^3+32x16m^2n^3)

=64^3x(n^3-48mn^3-16^3m^3n^3+48x16m^2n^3)

=64m^3n^3-3072mn^3-262144m^6n^3+49152m^5n^3