[tex]a) (2a-\sqrt{3})(a^{2} +3a-\sqrt{3}) = 2a^{3} +6a^2-2a\sqrt{3}-a^2\sqrt{3}-3a\sqrt{3}+3[/tex]
[tex]b) (a-b)(a^2+ab+b^2) = a^3+a^2b+ab^2-a^2b-ab^2-b^3 = a^3-b^3[/tex]
[tex]c) (b-2b^2+1)(1-b) = b-b^2-2b^2+2b^3+1-b = 2b^3-3b^2[/tex]
[tex]d) (x^2+2xy+y^2)(x-y) = x^3-x^2y+2x^2y-2xy^2+xy^2-y^3 = x^3+x^2y-xy^2-y^3[/tex]