找规律:
(m-1)(m+1)=m2-1;
(m-1)(m2+m+1)=m3-1;
(m-1)(m3+m2+m+1)=m4-1;
(m-1)(m4+m3+m2+m+1)=m5-1;
(m-1)(m5+m4+m3+m2+m+1)=______-1;
…
( m-1)(mn-1+mn-2+…m2+m+1)=______-1;
(1)在上面空白处填空;
(2)根据你找的规律计算:2+22+23+…+298+299.
网友回答
解:(1)(m-1)(m5+m4+m3+m2+m+1)=m6-1;
( m-1)(mn-1+mn-2+…m2+m+1)=mn-1;
故