Ответ:

[tex]41,3^2-41,2^2=(41,3-41,2)(41,3+41,2)=0,1*82,5=8,25[/tex]

2)

[tex](\frac{1}{8} z^2-\frac{5}{6}) ^2=\frac{1}{64}z^4-2*\frac{1}{8} *\frac{5}{6}z^2 + \frac{25}{36}=\\= \frac{1}{64}z^4- \frac{5}{24}z^2+ \frac{25}{36}[/tex]

Объяснение:

[tex]\displaystyle 1) 41,3^2-41,2^2=(\frac{413}{10})^2-(\frac{206}{5})^2=(\frac{413}{10})^2-\frac{42436}{25}=8,25\\ \\2)(\frac{1}{8}z^2-\frac{5}{6})^2=(\frac{1}{8}z^2)^2-2*\frac{1}{8}z^2*\frac{5}{6}+(\frac{5}{6})^2=\frac{1}{64}z^4-\frac{5}{24}z^2+\frac{25}{36}[/tex]