1) ![x^{2} -4=(x-2)(x+2) x^{2} -4=(x-2)(x+2)](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-4%3D%28x-2%29%28x%2B2%29)
2)![25-9a^{2} =(5-3a)(5+3a) 25-9a^{2} =(5-3a)(5+3a)](https://tex.z-dn.net/?f=25-9a%5E%7B2%7D%20%3D%285-3a%29%285%2B3a%29)
3)![36m^{2} -100n^{2} =4(3m-5n)(3m+5n) 36m^{2} -100n^{2} =4(3m-5n)(3m+5n)](https://tex.z-dn.net/?f=36m%5E%7B2%7D%20-100n%5E%7B2%7D%20%3D4%283m-5n%29%283m%2B5n%29)
![image](https://tex.z-dn.net/?f=%3C%2Fp%3E%3Cp%3E4%29%5Btex%5D0%2C04p%5E%7B2%7D%20-1%2C69q%5E%7B2%7D%3D%5Cfrac%7B1%7D%7B100%7D%2A%282p-13q%29%282p%2B13q%29)
4)[tex]0,04p^{2} -1,69q^{2}=\frac{1}{100}*(2p-13q)(2p+13q)" alt="
4)[tex]0,04p^{2} -1,69q^{2}=\frac{1}{100}*(2p-13q)(2p+13q)" align="absmiddle" class="latex-formula">
5)![x^{2}y^{2}-\frac{4}{9}=(xy-\frac{2}{3})(xy+\frac{2}{3}) x^{2}y^{2}-\frac{4}{9}=(xy-\frac{2}{3})(xy+\frac{2}{3})](https://tex.z-dn.net/?f=x%5E%7B2%7Dy%5E%7B2%7D-%5Cfrac%7B4%7D%7B9%7D%3D%28xy-%5Cfrac%7B2%7D%7B3%7D%29%28xy%2B%5Cfrac%7B2%7D%7B3%7D%29)
6)![a^{4}-b^{6}=(a^{2}-b^{3})(a^{2}+b^{3}) a^{4}-b^{6}=(a^{2}-b^{3})(a^{2}+b^{3})](https://tex.z-dn.net/?f=a%5E%7B4%7D-b%5E%7B6%7D%3D%28a%5E%7B2%7D-b%5E%7B3%7D%29%28a%5E%7B2%7D%2Bb%5E%7B3%7D%29)
7)![0,01c^{2}-d^{8}=(\frac{1}{10}c-d^{4})(\frac{1}{10}c+d^{4}) 0,01c^{2}-d^{8}=(\frac{1}{10}c-d^{4})(\frac{1}{10}c+d^{4})](https://tex.z-dn.net/?f=0%2C01c%5E%7B2%7D-d%5E%7B8%7D%3D%28%5Cfrac%7B1%7D%7B10%7Dc-d%5E%7B4%7D%29%28%5Cfrac%7B1%7D%7B10%7Dc%2Bd%5E%7B4%7D%29)
8)0,81y^{10}-400z^{12}=(\frac{9}{10}y^{5}-20z^{6})(\frac{9}{10}y^{5}+20z^{6})
9)![-1+49a^{4}b^{8}=(7a^{2}b^{4}-1)(7a^{2}b^{4}+1) -1+49a^{4}b^{8}=(7a^{2}b^{4}-1)(7a^{2}b^{4}+1)](https://tex.z-dn.net/?f=-1%2B49a%5E%7B4%7Db%5E%7B8%7D%3D%287a%5E%7B2%7Db%5E%7B4%7D-1%29%287a%5E%7B2%7Db%5E%7B4%7D%2B1%29)
10)![1\frac{7}{9}m^{2}n^{2}-1\frac{11}{25}a^{6}b^{2}=\frac{1}{225}*(175m^{2}n^{2}-99a^{6}b^{2}) 1\frac{7}{9}m^{2}n^{2}-1\frac{11}{25}a^{6}b^{2}=\frac{1}{225}*(175m^{2}n^{2}-99a^{6}b^{2})](https://tex.z-dn.net/?f=1%5Cfrac%7B7%7D%7B9%7Dm%5E%7B2%7Dn%5E%7B2%7D-1%5Cfrac%7B11%7D%7B25%7Da%5E%7B6%7Db%5E%7B2%7D%3D%5Cfrac%7B1%7D%7B225%7D%2A%28175m%5E%7B2%7Dn%5E%7B2%7D-99a%5E%7B6%7Db%5E%7B2%7D%29)