expand and simplify (x+6)(x-g)

Question

Can you please solve using 'FOIL' method?

Answer 1

The expression, (x+6)(x-g), has two terms  [In Algebra a term is either a single number or variable, or numbers and variables multiplied together]:  (x+6) and (x-g).

 

The First-Outside-Inside-Last (FOIL) method distributes the multiplication of (a+b)(c+d) like this:

       (a+b)(c+d) = a(c+d) + b(c+d) =  ac + ad + bc + bd

 

For this problem, (x+6)(x-g):

      x*x  - xg + 6x - 6g

      x² - xg + 6x - 6g              [be careful with minus signs]