a. (2x+1)(2x-1-2x-1)=(2x+1)(-2)=-4x-2
b. [tex](x-2)(x-3)-(x-1)(x-5)=x^2-5x+6-x^2+6x-5=x+1[/tex]
c. [tex](x-2)^2-1-(x-2)^2=-1[/tex]
d. [tex](x+1)(x^2-x+3)+x^2-x+3-(x+1)(x^2+2x-5)=[/tex]
[tex]=(x+1)(-3x+8)+x^2-x+3=[/tex]
[tex]=-3x^2-3x+8x+8+x^2-x+3=-2x^2+4x+11[/tex]