Question

:сократите дробь: 1. 33х/11х²у 2. bc - b²/bc 3. a²- 4/a²-2а 4. x+y/x²+2xy+y² 5. 2а(3а-р)/6а-2р. заранее огромное !

Answer 1

1. $\frac{33x}{11x^2y} = \frac{3}{xy}$

2. $\frac{bc - b^2}{bc} = \frac{b(c-b)}{bc} = \frac{c-b}{c} = 1 - \frac{b}{c}$

3. $\frac{a^2-4}{a^2-2a} = \frac{(a-2)(a+2)}{a(a-2)} = \frac{a+2}{2} = \frac{a}{2} + 1$

4. $\frac{x+y}{x^2+2xy+y^2} = \frac{x+y}{(x+y)(x+y)} = \frac{1}{x+y} = \frac{1}{x} + \frac{1}{y}$

5. $\frac{2a(3a-p)}{6a-2p} = \frac{2a(3a-p)}{2(3a-p)} = \frac{2a}{2} = a$