English translation Sunny Sunday, May 1, 2011 Today, I got up very late. After eating, I went out to play. Unconsciously, it was noon. I remembered that I had not finished my homework yet, and I would go to school tomorrow. So, after eating, I began to do my homework, but after my efforts, I finally finished it Have a good night's sleep. I'm going to school tomorrow I'll go to school on Monday I'm so anxious...)

English translation Sunny Sunday, May 1, 2011 Today, I got up very late. After eating, I went out to play. Unconsciously, it was noon. I remembered that I had not finished my homework yet, and I would go to school tomorrow. So, after eating, I began to do my homework, but after my efforts, I finally finished it Have a good night's sleep. I'm going to school tomorrow I'll go to school on Monday I'm so anxious...)

May 1,2011 Sunday,sunny day,I got up late,eat dinner I went out to play,unknowingly to noon,remembering the job has not finished it,go to school tomorrow,so,eat fed after I started doing their homework,work really,ah,but after my efforts,and finally finished the ......night's sleep,go to school tomorrow
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Simple calculation: 1's Square - 2's square + 3's Square. - 100's square + 101's Square=

3^2-2^2=(3+2)(3-2)=5
5^2-4^2=(5+4)(5-4)=9
.
Square of 1 - square of 2 + square of 3. - square of 100 + square of 101
=1 + 5 + 9 +. 201 (51 items in total)
=(1+201)*51/2
=5151

How is the square of 1 / 4 × 100 × 101 equal to the square of (1 / 2 × 100 × 101)

1/4×100²×101²
=(1/2)²×100²×101²
=(1/2×100×101)²