Question

simplifique as frações algébricas a)x²-4/x+2. b)x²-9/x-3. c)x+6/x²-36. d)2x-4/2a. e)5y+10/10x. f)2a-2b/5a-5b. g)a²-ab/a²-b². h)a²-25/a+5. pfvr me ajudem!!​

Answer 1

a)$\frac{x^2-4}{x+2} = \frac{(x-2).(x+2)}{x+2} = x-2$

b)$\frac{x^2-9}{x-3} = \frac{(x-3).(x+3)}{x-3} = x+3$

c)$\frac{x+6}{x^2-36} = \frac{x+6}{(x-6).(x+6)} = \frac{1}{x-6}$

d)$\frac{2x-4}{2a}= \frac{x-2}{a}$

e)$\frac{5y+10}{10x}=\frac{y+2}{2x}=\frac{y}{2x}+x^{-1}$

f)$\frac{2a-2b}{5a-5b} =\frac{2.(a-b)}{5.(a-b)}=\frac{2}{5}$

h)$\frac{a^2-25}{a+5}=\frac{(a-5).(a+5)}{a+5} =a-5$