The first thing we are going to do to pair our polynomials, is expand our binomials and simplify:
[tex](a+1)(2a-3)=2a^{2}-3a+2a-3=2a^{2}-a-3[/tex]
[tex](a-1)(2a+3)=2a^{2}+3a-2a-3=2a^{2}+a-3[/tex]
[tex](2a-1)(a+3)=2a^{2}+6a-a-3=2a^{2}+5a-3 [/tex]
[tex](2a+1)(a-3)=2a^{2}-6a+a-3=2a^{2}-5a-3[/tex]
Now that we have our binomials expanded, lets pair them with the polynomials:
[tex](a+1)(2a-3) -----\ \textgreater \ 2a^{2}-a-3[/tex]
[tex](a-1)(2a+3)-----\ \textgreater \ 2a^{2}+a-3[/tex]
[tex](2a-1)(a+3)-----\ \textgreater \ 2a^{2}+5a-3[/tex]
[tex](2a+1)(a-3)-----\ \textgreater \ 2a^{2}-5a-3[/tex]
