1-2²+3²-4²+5²-6²+······+99²-100²+101²=还有一题因式分解 x三次方-x² +x-1

1-2²+3²-4²+5²-6²+······+99²-100²+101²=还有一题因式分解 x三次方-x² +x-1
1-2²+3²-4²+5²-6²+······+99²-100²+101²=
还有一题因式分解 x三次方-x² +x-1

1-2²+3²-4²+5²-6²+······+99²-100²+101²=还有一题因式分解 x三次方-x² +x-1
（1）=-【（2-1）（1+2）+（4-3）*（3+4）.(100-99)(99+100)]+101*101
=-[1+2+3+4+...+99+100]+101*101
=-(1+100)*100/2+101*101
=-50*101+101*101
=101*51
=101*(50+1)
=5151
(2)=(x-1)(x²+1)