Question

URGENTE !!!!!
Me ajudem e para amanhã !!!!​

Answer 1

Resposta:

Vide abaixo

Explicação passo-a-passo:

a)

(a² + ap + am + mp) ÷ (am + m²) =

[a.(a + p) + m.(a + p)] ÷ m.(a + m) =

(a + p).(a + m) ÷ m.(a + m) =

(a + p)/m

b)

(x² + 8x + 15) ÷ (x² - 25) =

(x² + 2.4.x + 16 - 1) ÷ (x + 5).(x - 5) =

[(x + 4)² - 1] ÷ (x + 5).(x - 5) =

(x + 4 + 1).(x + 4 - 1) ÷ (x + 5).(x - 5) =

(x + 5).(x + 3) ÷ (x + 5).(x - 5) =

(x + 3)/(x - 5)

c)

(a² - 10a + 21) ÷ (a² - 6a + 9) =

(a² - 2.5.a + 25 - 4) ÷ (a² - 2.3.a + 9) =

[(a - 5)² - 4] ÷ (a - 3)² =

[(a - 5)² - 2²] ÷ (a - 3)² =

(a - 5 + 2).(a - 5 - 2) ÷ (a - 3)² =

(a - 3).(a - 7) ÷ (a - 3)² =

(a - 7)/(a - 3)

d)

(4a² - 4a + 1) ÷ (2a² - a) =

((2a)² - 2.2.a.1 + 1) ÷ a.(2a - 1) =

(2a - 1)² ÷ a.(2a - 1) =

(2a - 1) ÷ a =

2 - 1/a

e)

(x² - 25) ÷ (x² + 7x + 10) =

(x + 5).(x - 5) ÷ (x² + 2.x.(7/2) + 10 + 49/4 - 49/4) =

(x + 5).(x - 5) ÷ (x² + 2.x.(7/2) + 49/4 - 49/4 + 10) =

(x + 5).(x - 5) ÷ [(x + 7/2)² - 49/4 + 10)] =

(x + 5).(x - 5) ÷ [(x + 7/2)² - (49 - 40)/4] =

(x + 5).(x - 5) ÷ [(x + 7/2)² - 9/4] =

(x + 5).(x - 5) ÷ [(x + 7/2)² - (3/2)²] =

(x + 5).(x - 5) ÷ (x + 7/2 + 3/2).(x + 7/2 - 3/2) =

(x + 5).(x - 5) ÷ (x + 10/2).(x + 4/2) =

(x + 5).(x - 5) ÷ (x + 5).(x + 2) =

(x - 5)/(x + 2)

Blz?

Abs :)