The given expression is
[tex]\left(x+6\right)\left(x+5\right)+\left(x+6\right)\left(x-2\right)[/tex]First, we use the distributive property
[tex]x^2+5x+6x+30+x^2-2x+6x-12[/tex]Now, we reduce like terms, so the quadratic expression is
[tex]2x^2+15x+18[/tex]Where a = 2, b = 15, and c = 18.
The image below shows the process for the distributive property
