Question

Найти значение выражения.
357^2+2*343*357+343^2 : 357^2-343^2

Answer 1

50.

(357²+2*343*357+343²) : (357²-343²)=

(357+343)²:((357-343)×(357+343))=

700²:(14×700)=700÷14=50.

Answer 2

$\displaystyle\bf\\\frac{357^{2} +2\cdot 343\cdot 357+ 343^{2} }{357^{2} -343^{2} } =\frac{(357+343)^{2} }{(357+343)\cdot(357-343)} =\\\\\\=\frac{357+343}{357-343} =\frac{700}{14} =50$