x的n次方+2x的n+1次方+x的n+2次方（a的m次方·a的2n+1次方）三次方除以a的2m-6n次方求解!

Question

x的n次方+2x的n+1次方+x的n+2次方 （a的m次方·a的2n+1次方）三次方 除以 a的2m-6n次方 求解!

Answer 1

x^n+2x^(n+1)+x^(n+2)
=x^n(1+2x+x²)
=(x+1)²x^n
[a^m a^(2n+1)]³÷[a^(2m-6n)]
=[a^(m+2n+1)]³÷a^(2m-6n)
=a^(3m+6n+3)÷a^(2m-6n)
=a^[3m+6n+3-(2m-6n)]
=a^(m+12n+3)