Question

Considerando o denominador diferente de 0, resolva as expressões, apresentando o resultado na forma simplificada 
a) x+y/2 : x+y/7
b) 2x+8/4x . 16x²/x+4
c) x²-49/2x+14 . x+1/x-7
d) 16a²-40a+25/8a-10 : x+5/2x-1 

Answer 1

a)$\frac{x+y}{2}: \frac{x+y}{7}= \frac{x+y}{2}* \frac{7}{x+y}= \frac{7}{2}$

b) $\frac{2x+8}{4x}* \frac{16x^2}{x+4}=$
   
    $\frac{2(x+4)}{4x}* \frac{4x.4x}{x+4}= \frac{2.4x}{1}=8x$

c) $\frac{x^2-49}{2x+14}* \frac{x+1}{x-7}=$
    
    $\frac{(x+7)(x-7)}{2(x+7)}* \frac{x+1}{x-7}= \frac{x+1}{2}$

d) $\frac{16a^2-40a+25}{8a-10}: \frac{x+5}{2x-1}=$
    
$\frac{(4a-5)^2}{2(4a-5)}* \frac{2x-1}{x+5}=$
 
$\frac{(4a-5).(x-1)}{x+5}$