Question

wyrazenia algebraiczne (2x-3)potega2(x-1)+(2x-1)potega2(x+2) (x-1)potega2(2x+3)+3(2x-2)(x+1) (2x-1)potega2(x-3)-2(2x-1)(x+2) (2x+3)potega2(x+1)-(x-1)(x-3) (2x-2)potega3-(x+1)potega3 (x-3)potega2-2(x-2)potega2(x-1)

Answer 1

(2x-3)potęga2(x-1)+(2x-1)potęga2(x+2)=(4xkwadrat-12x+9)(x-1)+(4xkwadrat-4x+1)(x+2)=4xdo3-4xkwadrat-12xkwadrat-9+4xdo3+8xkwadrat-4xkwadrat-8x+x+2=8xdo3-12x2-7x-7

 

(x-1)potęga2(2x+3)+3(2x-2)(x+1)=(xkwadrat-2x+1)(2x+3)+3(2xkwadrat+2x-2x-2)= 2xdo3+3xkwadrat-4xkwadrat-6x+2x+3+6xkwadrat+6x-6x-6=2xdo3+5xkwadrat-4x-3

 

(2x-1)potęga2((x-3)-2(2x-1)(x+2)=(4xkwadrat-4x+1)(x-3)-2(2xkwadrat+4x-x-2)=4do3-4xkwadrat+x-12xkwadrat+12x-3-4xkwadrat-8x+2x+4=4xdo3-20xkwadrat+7x+1

 

(2x+3)potęga2(x+1)-(x-1)(x-3)=(4xkwadrat+12x+9)(x+1)-(xkwadrat-3x-x+3)=4xdo3+4xkwadrat+12xkwadrat+12x+9x+9-xkwadrat+3x+x-3=4xdo3+15xkwadrat+25x+6