A foil method is a technique where two or more binomials multiply.
[tex]\tt{(b + 3) (b + 7)}[/tex]
[tex]\tt{F: (b)(b) = b^2}[/tex]
[tex]\tt{O: (b)(7) = b7}[/tex]
[tex]\tt{I: (3)(b) = 3b}[/tex]
[tex]\tt{L:(3)(7) = 37}[/tex]
[tex] \tt{=b^2 +7b+3b+21}[/tex]
[tex]= \boxed{ \tt{b^2 +10b+2}}[/tex]
[tex]\tt{(x + 3)^2}[/tex]
[tex]\tt{F: (x)(x) = x^2}[/tex]
[tex]\tt{O: (x)(3) = x3}[/tex]
[tex]\tt{I: (3)(x) = 3x}[/tex]
[tex]\tt{L:(3)(3) = 9}[/tex]
[tex] \tt{=x^2 +3x+3x+9}[/tex]
[tex] = \boxed{ \tt{x^2 +6x+9}}[/tex]