1+m+m(1+m)+m9(1+m)的2次幂+m(1+m)的三次幂等于多少?
问题描述:
1+m+m(1+m)+m9(1+m)的2次幂+m(1+m)的三次幂等于多少?
答
1+m+m(1+m)+m(1+m)^2+m(1+m)^3 =(1+m)[1+m+m(1+m)+m(1+m)^2] =(1+m){(1+m)[1+m+m(1+m)]} =(1+m)^4