ВПР 1 №8 Алгебра = ВПТ 1 №8 Математика
Скоротіть дріб:
1. $\frac{a^2b^3}{ab^7};$
2. $\frac{-63xa^5}{81xa^6};$
3. $\frac{p\left(a-2\right)}{m\left(a-2\right)};$
4. $\frac{7a-14b}{3a-6b};$
5. $\frac{a-2y}{a^2-2ay};$
6. $\frac{m^2-1}{7m+7};$
7. $\frac{x^2-4x+4}{3x-6};$
8. $\frac{x^2-2xy}{2y-x}.$
Розв'язок:
1. $\frac{a^2b^3}{ab^7}=\frac{a}{b^4};$
2. $\frac{-63xa^5}{81xa^6}=-\frac{7}{9a};$
3. $\frac{p\left(a-2\right)}{m\left(a-2\right)}=\frac{p}{m};$
4. $\frac{7a-14b}{3a-6b}=\frac{7\left(a-2b\right)}{3\left(a-2b\right)}=\frac{7}{3}=2\frac{1}{3};$
5. $\frac{a-2y}{a^2-2ay}=\frac{a-2y}{a\left(a-2y\right)}=\frac{1}{a};$
6. $\frac{m^2-1}{7m+7}=\frac{\left(m-1\right)\left(m+1\right)}{7\left(m+1\right)}=\frac{m-1}{7};$
7. $\frac{x^2-4x+4}{3x-6}=\frac{\left(x-2\right)^2}{3\left(x-2\right)}=\frac{x-2}{3};$
8. $\frac{x^2-2xy}{2y-x}=\frac{x\left(x-2y\right)}{2y-x}=$
$= -\frac{x\left(x-2y\right)}{x-2y}=-x.$