what is the anwser of (q-5)(q-6) using the foil method

(q-5)(q-6) using the FOIL method.

 

First: q*q=q²

 

Outside: q*(-6)=-6q

 

Inside: (-5)*q=-5q

 

Last: (-5)*(-6)

 

q²-6q-5q+30

 

q²-11q+30

\((q-5)(q-6)\)

 

\(F.O.I.L.\)

 

F - First Times First \((q\times q)\)

 

O - Outside Times Outside \((q\times[-6])\)

 

I - Inside Times Inside \(([-5]\times q)\)

 

L - Last Times Last \(([-5]\times[-6])\)

 

When you do the \(F.O.I.L.\) method for this expression, you get :

 

\({q}^{2}-6q-5q+30\)

 

Now combine like terms

 

\({q}^{2}-11q+30\)