Question

[(-1/2-1/3)².(1+1/5)]:[-3/5.(-2+1/3)²]

Answer 1

$[( \frac{-1}{2} - \frac{1}{3} )².( \frac{1}{} + \frac{1}{5} )] : [ \frac{-3}{5} . ( \frac{-2}{} + \frac{1}{3} )²]$


$[( \frac{-3-2}{6} )².( \frac{5+1}{5} )]:[ \frac{-3}{5} .( \frac{-6+1}{3} )²]$

$[( \frac{-5}{6})².( \frac{6}{5} ]:[ \frac{-3}{5} .( \frac{-5}{3} )²]$

$[ \frac{25}{6} .  \frac{6}{5} ]:[ \frac{-3}{5} . \frac{25}{9}] =$

$\frac{150}{30} : \frac{-75}{45} =$

$\frac{150}{30} . \frac{-45}{75} =$

cancela, fica mais fácil

$\frac{5}{} . \frac{-3}{5} =-3$

Answer 2

[(-1/2-1/3)².(1+1/5)]:[-3/5.(-2+1/3)²]

[((- 3-2)/6)².(5+1)/5]:[-3/5.((-6+1)/3)²]
[(25/36).6/5]:[-3/5.25/9]
 [  25 . 6 ]  : [ - 3 . 25 ] 
    36   5          5    9  
  - 5 : 5  ==> - 5 x 3  ==> -  1
    6   3           6    5            2