Question

Помогите пожалуйста (

Answer 1

1)

a)

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

б)

$=(\frac{1}{x^2} -\frac{1}{y^2}):(\frac{1}{x} -\frac{1}{y} )=\frac{y^2-x^2}{x^2y^2}:\frac{y-x}{xy}=\frac{y^2-x^2}{x^2y^2}\cdot\frac{xy}{y-x}=\frac{y+x}{xy}$

2

a)

$=\frac{c}{a}+(\frac{c}{a})^3 =\frac{c}{a}\cdot(1+\frac{c^2}{a^2})=\frac{c(a^2+c^2)}{a^3}$