[tex]\left(\frac{5}{3}\right)^2-\left(-\frac{1}{6}\right)^2\\\\=\frac{5^2}{3^2}-\frac{1}{6^2}\\\\=\frac{5^2}{9}-\frac{1}{6^2}\\\\=\frac{5^2}{9}-\frac{1}{36}\\\\=\frac{100}{36}-\frac{1}{36}\\\\=\frac{100-1}{36}\\\\\mathrm{Subtrair:}\:100-1=99\\\\=\frac{99}{36}\\\\=\frac{11}{4}[/tex]
O exemplo de outra conta
[tex]\left(\frac{5}{3}\right)^2+\left(\frac{1}{6}\right)^2\\\\=\frac{5^2}{3^2}+\frac{1}{6^2}\\\\=\frac{5^2}{9}+\frac{1}{6^2}\\\\=\frac{5^2}{9}+\frac{1}{36}\\\\=\frac{100}{36}+\frac{1}{36}\\\\\mathrm{Ja\:que\:os\:denominadores\:sao\:iguais,\:combinar\:as\:fracoes}:\\\\=\frac{100+1}{36}\\\\\mathrm{Somar:}\:100+1=101\\\\=\frac{101}{36}[/tex]
