1. Uprość wyrażenia. b. (m+1)^2 - (2m - 2)^2 + (2m +3)^2 - (4m - 4)^2 c. 9^2 - (1-x)(2+x) - 3(5-x)^2 d. 2(3-x)(1+x) - (1-2x)^2 + (-2 - x)^2   2. Oblicz za pomocą wzorów skróconego mnożenia: a. 19^2 b. 101 * 99

Zadanie 1 c)[latex]9^{2}-(1-x)(2+x)-3(5-x)^{2}[/latex] [latex]81-(2+x-2x-x^{2})-3(25-10x+x^{2}[/latex] [latex]8-2-x+2x+x^{2}-75+30x-3x^{2}[/latex] [latex]4+31x-2x^{2}[/latex]   b)[latex](m+1)^{2}-(2m-2)^{2}+(2m+3)^{2}-(4m-4)^{2}[/latex] [latex](m^{2}+2m+m)-(4m^{2}-8m+4)[/latex]+[latex](4m^{2}+12m+9)-(16m^{2}-32+16)[/latex] [latex]m^{2}+2m+1-4m^{2}+8m-4+4m^{2}+12m+9-16m^{2}+32-16[/latex] [latex]15m^{2}+22m+22[/latex]   d)[latex]2(3-x)(1+x)-(1-2x)^{2}+(-2-x)^{2}[/latex] [latex]2(3+3x-x-x^{2})-(1-4x+4x^{2})+(4+4+x^{2}[/latex] [latex]6+6x-2x-2x^{2}-1+4x-4x^{2}+4+4+x^{2}[/latex] [latex]13+8x-5x^{2}[/latex]   Zadanie 2 a) [latex]19^{2}=(10+9)^{2}=100+180+81=361[/latex] b) [latex]101*99= (100-1)(100+1)=100^{2}-1^{2}=9999[/latex]