Question

Observe o exemplo para simplificar as frações.
fatorando
m*2 - 25 /m*2 +10m+25 = (m+5)(m-5)*2 =
fatorando
=(m+5)(m-5)/(m+5)(m+5) = m-5/m+5


a) 7c -21 /c*2 -6c+9
b)x*2-16x+64/x*2-64
c)7x-7y/5x*2-5y*2
d)x*2-9/x*2+3x
e)xy-2y/x*2-4x+4
f)5x*2-5/4x+4

Answer 1

vamos lá...

$a) \\ \frac{7c-21}{c^2-6c+9}= \frac{7(c-3)}{(c-3)^2}= \frac{7}{c-3} \\ \\ b) \\ \frac{x^2-16x+64}{x^2-64} = \frac{(x-8)^2}{(x+8)(x-8)} = \frac{(x-8}{(x+8)} \\ \\ c) \\ \frac{7x-7y}{5x^2-5y^2} = \frac{7(x-y)}{5(x^2-y^2)} = \frac{7(x-y)}{5(x+y)(x-y)}= \frac{7}{5(x+y)} \\ \\ d) \\ \frac{x^2-9}{x^2+3x} =\frac{(x+3)(x-3)}{x(x+3)} = \frac{(x-3)}{x} \\ \\ e) \\ \\ \frac{xy-2y}{x^2-4x+4} = \frac{y(x-2)}{(x-2)^2}= \frac{y}{(x-2)}$ 

$f) \\ \frac{5x^2-5}{4x+4} = \frac{5(x^2-1)}{4(x+1)} = \frac{5(x+1)(x-1)}{4(x+1)} = \frac{5(x+1)}{4}$