Factor this polynomial.
[tex]6a^2-13ab-5b^{2.}[/tex]Notice that:
[tex]-13ab=2ab-15ab\text{.}[/tex]Then:
[tex]6a^2-13ab-5b^{2.}=6a^2+2ab-15ab-5b^2\text{.}[/tex]Now, notice that:
[tex]\begin{gathered} 6a^2+2ab=2a(3a+b), \\ -15ab-5b^2=-5b(3a+b)\text{.} \end{gathered}[/tex]Therefore:
[tex]6a^2-13ab-5b^2=2a(3a+b)-5b(3a+b)\text{.}[/tex]Grouping the above result we get that:
[tex]6a^2-13ab-5b^{2.}=(2a-5b)(3a+b)\text{.}[/tex]Answer:
[tex]6a^2-13ab-5b^{2.}=(2a-5b)(3a+b)\text{.}[/tex]