Question

Sprowadź do najproszczej postaci wyrażenie :

a) 4(2x-1)-(x-1)(x+2)=

b) -3(x+3)+(1-x)(x+3)=

c) 2x-2x(4-x)+2x kwadrat=

d) (x-1)(x-2)(x-3)=

Answer 1

a) 8x-4-x^2-2x+x+2=x^2+7x-2

b) -3x-9+x+3-x^2-3x=-x^2-5x-9

c) 2x-8x+2x^2+2x^2=4x^2-6x

d) (x^2-2x-x+2)(x-3)=x^3-3x^2+2x-3x^2-9x-6=x^3-6x^2-7x-6

Answer 2

a) 4(2x-1)-(x-1)(x+2)= 8x-4-x^2 +x -2x +2 = 7x -x^2 -2

 

b. -3(x+3)+(1-x)(x+3) = -3x-9 +x+3 -x^2 -3x = -5x -x^2 -6

 

c) 2x-2x(4-x)+2x^2= 2x -8x + 2x^2 + 2x^2 = -6x + 4x^2 

 

d) (x-1)(x-2)(x-3) = x^3 -3x^2 -2x^2+6x -x^2 +3x +2x -6 = x^3 -6x^2 +11x -6