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Simplify Polynomial Expression: Step-by-Step Guide

Learn how to simplify a polynomial expression using the FOIL method with a smiley face example. Follow the step-by-step calculation to arrive at the final simplified form.

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Simplify Polynomial Expression: Step-by-Step Guide

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  1. FOIL (x+8) (x-6) =

  2. FOIL (x+8) (x-6) = x2 Firsts

  3. FOIL (x+8) (x-6) = x2 – 6x Firsts Outers

  4. FOIL (x+8) (x-6) = x2 – 6x + 8x Firsts Outers Inners

  5. FOIL (x+8) (x-6) = x2 – 6x + 8x -48 Firsts Outers Inners Lasts

  6. FOIL (x+8) (x-6) = x2 – 6x + 8x -48 x2 -48 -6x+8x Firsts Outers Inners Lasts x2 -48 + 2x now Simplify

  7. Smiley Face (x+8) (x-6) = x2 – 48 + 8x – 6x = x2 + 2x - 48

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