Respuesta :

What is Foil Method?

A foil method is a technique where two or more binomials multiply.

  • First
  • Outer
  • Inner
  • Last

Example 1

[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]

Example 2

[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]