Zapisz w jak najprostszej postaci : (x+4)+(2x-6) = x+4+2x-6 = 3x-2 (x²+2x+1)-(x²-4x+3) =x²+2x+1-x²+4x-3 = 6x-2 Zapisz w postaci sumy algebraicznej : (2a+b) *c -(2ac-bc+1) = 2ac+bc-2ac+bc-1 = -1 5(x-z)+2(z-x) = 5x-5z+2z-2x = 3x-3z Wykonaj dzialania (3x-2)(3x-2y+1)-4x(2x-3y+1) = 9x²-6xy+3x-6x+4y-2 = 9x²-6xy-3x-2 3(m+1)(n-2)+2(n+1)(m-2)=(3m+3)(n-2)+(2n+2)(m-2)=3mn-6m+3n-6+2mn-4n+2m-4=5mn-n-4m-10 x(x+1)(x+2)-x(x-1)(x-2)=(x²+x)(x+2)-x(x²-2x-x+2)=x³+2x²+x²+2x-x³+3x²-2x=6x²
1. (x+4)+(2x-6) =x+4+2x-6=3x-2 (x²+2x+1)-(x²-4x+3) = x²+2x+1-x²+4x-3=6x-2 2. (2a+b) *c -(2ac-bc+1)=2ac+bc-2ac+bc-1=2bc-1 5(x-z)+2(z-x)=5x-5z+2z-2x=3x-3z 3. (3x-2)(3x-2y+1)-4x(2x-3y+1)=9x²-6xy+3x-6x+4y-2-8x²+12xy-4x=x²+6xy-7x+4y-2 3(m+1)(n-2)+2(n+1)(m-2)=(3m+3)(n-2)+(2n+2)(m-2)=3mn-6m+3n-6+2mn-4n+2m-4= =5mn-4m-n-10 x(x+1)(x+2)-x(x-1)(x-2)=(x²+x)(x+2)-(x²-x)(x-2)=x³+2x²+x²+2x-(x³-2x²-x²+2x)= =x³+3x²+2x-(x³-3x²+2x)=x³+3x²+2x-x³+3x²-2x=6x²