Question

Zapisz sume w postaci iloczynu (3-p)r+2(p-3) x(1-pierwiastek z trzech)-(pierwiastek z trzech-1) 4a(x+y)-x-y

Answer 1

w każdym  wyłączamy czynnik przed nawias

 

 

 

(3-p)r + 2(p-3) = (3-p)r - 2(-p+3) = (3-p)r - 2(3-p) =(3-p)(r-2) 

 

 

 

 

4a(x+y)-x-y = 4a(x+y)-(x+y) = 4a(x+y)-1(x+y) = (x+y)(4a-1)

 

 

 

 

Answer 2

4a(x+y)-x-y = 4a(x+y) -(x+y) = (x+y)(4a-1)  

 

 

x(1-√3)-y(√3-1) = x(1-√3) - (-y)(1-√3) = (1-√3)(x+y)

 

 

(3-p)r + 2(p-3) = -(p-3)r + 2(p-3) = (p-3)(-r+2)