Question

Найдите значение выражения ​

Answer 1

Объяснение:

$\frac{3x^{2}+3xy+3y^{2} }{5x^{2} -5y^{2} } :\frac{9x^{3} -9y^{3} }{10x^{2}-10y^{2} } =\frac{3*(x^{2}+xy+y^{2} ) }{5*(x^{2} -y^{2} )} *\frac{10*(x^{2} -y^{2} ) }{9*(x^{3} -y^{3} )} =\frac{3*(x^{2}+xy+y^{2})*10*(x^{2} -y^{2} ) }{5*(x^{2} -y^{2} )*9*(x-y)*(x^{2}+xy+y^{2}) } =\\ =\frac{2}{3*(x-y)}=\frac{2}{3*(5-3)}=\frac{2}{3*2} =\frac{1}{3} .$

Answer 2

Объяснение:

$\frac{3 {(x + y)}^{2} }{5(x + y)(x - y)} \div \frac{9x(x + y)(x - y)}{10(x + y)(x - y)} = \frac{3 {(x + y)}^{2} }{5(x + y)(x - y)} \div \frac{10(x + y)(x - y)}{9x(x + y)(x - y)} = \frac{(5 + 3) \times 2}{3 \times 5(5 - 3)} = \frac{16}{30} = \frac{8}{15}$