Question

Вычислите срочно надо​

Answer 1

Пошаговое объяснение:

$\displaystyle \frac{33^{2}+2*33*17+17^{2}}{61^{2}-11^{2}} =\frac{1089+1122+289}{(61-11)(61+11)}=\frac{2500}{50*72}=\frac{2500}{3600} =\boxed{\frac{25}{36}}$
$\displaystyle \frac{41^{2}-2*41*19+19^{2}}{31^{2}-11^{2}}=\frac{1681-1558+361}{(31-9)(31+9)}=\frac{484}{22*40}=\frac{484}{880}=\boxed{\frac{11}{20}}$
$\displaystyle \frac{75^{2}-7^{2}}{75^{2}+2*75*7+7^{2}}=\frac{(75-7)(75+7)}{75^{2}+1050+49}=\frac{68*82}{5625+1099}=\frac{5576}{6724}=\boxed{\frac{34}{41}}$
$\displaystyle \frac{47^{2}-33^{2}}{77^{2}-2*77*63+63^{2}}=\frac{(47-33)(47+33)}{5929-9702+3969}=\frac{14*80}{196}=\frac{1120}{196}=\frac{40}{7}=\boxed{5\frac{5}{7}}$