Question

Zapisz sumę w postaci iloczynu.

a) 4x(2x+7)-3(2x+7)

b) (13x-7)·3x-(13x-7)·4

c) x(2y-1)-(2y-1)+2(2y-1)

d) 5x(-3y+2z)-(2z-3y)

e) y(2x²+5)-(5+2x²)-3x(2x²+5)

f) 2z(5x-y)-2(5x-y)-(-y+5x)

Answer 1

a)  4x(2x+7)-3(2x+7)=(2x+7)(4x-3)

 

b) (13x-7)·3x-(13x-7)·4 = (13x-7)(3x-4)

 

c)  x(2y-1)-1(2y-1)+2(2y-1)=(2y-1)(x-1+2)=(2y-1)(x+1)

 

d)  5x(-3y+2z)-1(2z-3y)=(2z-3y)(5x-1)

 

e)  y(2x²+5)-1(5+2x²)-3x(2x²+5)=(2x²+5)(y-1-3x)

 

f)  2z(5x-y)-2(5x-y)-1(-y+5x)=(5x-y)(2z-2-1)

 

 

 

Answer 2