zad. 1 a) [latex]2x-3y+7x-8y=9x-11y[/latex] [latex]9*0-11*(-1)=0+11=11[/latex] b) [latex]-3(2a+3b)+2(-4a-b)=-6a-9b-8a-2b=-14a-11b[/latex] [latex]-14*1-11*2=-14-22=-36[/latex] c) [latex]4(x+5a)-(9a-2x)=4x+20a-9a+2x=6x+11a[/latex] [latex]6*0+11*1=0+11=11[/latex] d) [latex]3x^2-4x+5x^2+6x=8x^2+2x[/latex] [latex]8*0^2+2*0=0[/latex] e) [latex]2a^2+4y-3a^2-2y+11=-a^2+2y+11[/latex] [latex]-1^2+2*(-1)+11=-1-2+11=8[/latex] f) [latex]6(a-y)+4(3y-2a)=6a-6y+12y-8a=-2a+6y[/latex] [latex]-2*1+6*(-1)=-2-6=-8[/latex] g) [latex]-(3a+x-b)+3(2a-4b)=-3a-x+b+6a-12b=3a-11b-x[/latex] [latex]3*1-11*2-0=3-22=-19[/latex] h) [latex]4(a+2x-10b)+2(3a+5b)=4a+8x-40b+6a+10b=10a-30b+8x[/latex] [latex]10*1-30*2+8*0=10-60=-50[/latex] i) [latex]5(x+2y-5)-3(2x-4+8y)=5x+10y-25-6x+12-24y=-x-14y-13[/latex] [latex]0-14*(-1)-13=14-13=1[/latex] j) [latex]-2(a+y-b)+2(-a+4y+3b)=-2a-2y+2b-2a+8y+6b=[/latex] [latex]=-4a+6y+8b[/latex] [latex]-4*1+6*(-1)+8*2=-4-6+16=-10+16=6[/latex] zad. 2 a) [latex](x+1)(x+2)=x^2+2x+x+2=x^2+3x+2[/latex] b) [latex](3a+4)(a-5)=3a^2-15a+4a-20=3a^2-11a-20[/latex] c) [latex](2x^4-y)(x^4+y)=2x^8+2x^4y-x^4y-y^2=2x^8+x^4y-y^2[/latex]
