Question

Сократите дроби A)-y^5/y^4 Б)y(x+2)(y-3)/x^2(x+2)y^2

Answer 1

Ответ:

1.-у

2. (у-3)/х²у

Answer 2

A) $\dfrac{-y^5}{y^4}$

To simplify this fraction, we can use the rule that $a^m / a^n = a^{m-n}$ when $a$ is not zero.

So, in this case, $y^5 / y^4 = y^{5-4} = y^1 = y$.

The simplified form is $y$.

B) $\dfrac{y(x+2)(y-3)}{x^2(x+2)y^2}$

In this case, we can start by canceling out common factors in the numerator and denominator:

$\dfrac{y(x+2)(y-3)}{x^2(x+2)y^2} = \dfrac{\cancel{y}\cancel{(x+2)}(y-3)}{x^2\cancel{(x+2)}y^2} = \dfrac{(y-3)}{x^2y^2}$

The simplified form is $\dfrac{y-3}{x^2y^2}$.