Question

20 pontos
Simplifique as frações da imagem

Answer 1

respostas: 
a) 3$a^{3}$b$c^{2$ /// 4

b) p - 4m /// 2m

c) 5 /// 3(m - 1)

d) a + b /// a - b

Answer 2

a)
$\frac{30a^4b^3c^3}{40ab^2c} = \frac{3a^3bc^2}{4}$

b)
$\frac{5m^2p-20m^3}{10m^3} = \frac{5m^2(p-4m)}{10m^3} = \frac{p-4}{2m}$

c)
$\frac{5m+5}{3m^2-3} = \frac{5(m+1)}{3(m^2-1)} = \frac{5(m+1)}{3(m+1)(m-1)} = \frac{5}{3(m-1)} = \frac{5}{3m-3}$

d)
$\frac{ax+bx-2ay-2by}{ax-bx-2ay+2by} = \\ \frac{x(a+b)-2y(a+b)}{x(a-b)-2y(a-b)} = \\ \frac{(x-2y)(a+b)}{(x-2y)(a-b)} = \\ \frac{a+b}{a-b}$