Question

escreva de forma mais sinples possivel a fração algébrica :

a)bc-c 

ab-a

 

b)m-n

m-mn

 

c)xy+y+5x+5

3y+15

 

d)n+n

nx+ny+x+y

 

e)9x+9xy

3xy+3y

 

f)x+ax

x+xy

 

Answer 1

a) $\frac{bc-c}{ab-a}= \frac{c(b-1)}{a(b-1)}= \frac{c}{a}$

b) $\frac{m-n}{m-mn} = \frac {m-n}{m(1-m)}$

c) $\frac{xy+y+5x+5}{3y+15} = \frac{y(x+1)+5(x+1)}{3(y+5)} = \frac{(y+5)*(x+1)}{3(y+1)}$

d) $\frac{n+n}{nx+ny+x+y}= \frac{2n}{x(n+1)+y(n+1)} = \frac{2n}{(x+y)*(n+1)}$

e) $\frac{9x+9xy}{3xy+3y}= \frac{9x(1+y)}{3y(x+1)}= \frac{9}{3}[ \frac{x(1+y)}{y(x+1)}] = 3 \frac{x(1+y)}{y(x+1)}$

f) $\frac{x+ax}{x+xy} = \frac{x(1+a)}{x(1+y)} = \frac{1+a}{1+y}$