Question

Efectuati:
a) [tex] \frac{1}{a^2} + \frac{a-2}{a} =
[/tex]
b) [tex] \frac{x-2}{7-x} + \frac{2+x}{x-7} =
[/tex]

Answer 1

a)
1/a²+(a-2)/a=
=(1+a²-2a)/a²=(a-1)²/a²=[(a-1)/a]²


b)(x-2)/(7-x)+(2+x)/(x-7)=
=(x-2)/(7-x)-(x+2)/(7-x)=
=(x-2-x-2)/(7-x)=
=-4/(7-x)

Answer 2

a. 1/a² + a-2 /a=
1+a(a-2) /a²=
a²-2a+1 /a²=
(a-1)²/a²=
(a-1 /a)² ;
b. x-2 /7-x + 2+x /x-7 =
(x-7)(x-2)+(2+x)(7-x) /(7-x)(x-7)=
5-4x /14x-49-x² ;