① 1) 2,99² = ![(\frac{299}{100})^{2} = \frac{89401}{10000} (\frac{299}{100})^{2} = \frac{89401}{10000}](https://tex.z-dn.net/?f=%28%5Cfrac%7B299%7D%7B100%7D%29%5E%7B2%7D%20%3D%20%5Cfrac%7B89401%7D%7B10000%7D)
2) 3,01² = ![(\frac{301}{100})^{2} = \frac{90601}{10000} (\frac{301}{100})^{2} = \frac{90601}{10000}](https://tex.z-dn.net/?f=%28%5Cfrac%7B301%7D%7B100%7D%29%5E%7B2%7D%20%3D%20%5Cfrac%7B90601%7D%7B10000%7D)
3) 9,99 = ![\frac{999}{100} \frac{999}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B999%7D%7B100%7D)
② 1) 89²➖2*89*81² = 7921 ➖ 14418 ➕ 6561 = 64
2) 77²➕2*77*23➕23² = 5929➕3542➕529 = 10000
3) 111²➖2*111*11+11² = 12321 ➖ 2442 ➕ 121 = 10000
4) 9999² ➖ 2*9999*1+1² = 9999² ➖ 19998 + 1 = 9999² ➖ 19997
5) 10002² ➖ 2*10002*2+2² = 10002² ➖ 40008 ➕ 4 = 10002² - 40004