Question

Суммативное оценивание за раздел «Алгебраические дроби»

Подготовительный вариант

Answer 1

$1. \\ \frac{4a^{3} c^{2} }{24ac} = \frac{ a^{2} c}{6} \\ \\ \frac{15a(a-b)}{40b(a-b)} = \frac{3a}{8b} \\ \\ \frac{ y^{2} +y}{ y^{2} } = \frac{y(y+1)}{y^{2}} = \frac{y+1}{y} \\ \\ 2. \\ \frac{12x-7}{15x} + \frac{3x-2}{15x} = \frac{12x-7+3x-2}{15x} = \frac{15x-9}{15x}= \frac{3(5x-3)}{15x}= \frac{5x-3}{5x} \\ \\ \\ \frac{3}{2a} - \frac{4}{5a} = \frac{15-8}{2a*5a} = \frac{7}{10a^{2}}$$\frac{ax+ay}{x y^{2} } * \frac{ x^{2} y}{3x+3y} = \frac{a(x+y)}{xy^{2} }* \frac{ x^{2} y}{3(x+y)} = \frac{ax}{3y} \\ \\ \\ ( \frac{3 a^{3} }{8b^{2} } )^{2}= \frac{9a^{6} }{64 b^{4} } \\ \\ 3. \\ ..........= \frac{(y-3)(y-3)}{(y-3)(y+3)}* \frac{y(y+3)}{10(y-3)} = \frac{y}{10}$

при  у=10
10/10=1