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Year 9 · Patterns & Algebra

Expand binomial products

To expand two brackets, every term in the first multiplies every term in the second (FOIL).

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How to do it

  1. First × First, Outer × Outer, Inner × Inner, Last × Last.
  2. Collect the two middle terms.

Worked example

(x + 2)(x + 3)
x² + 3x + 2x + 6
x² + 5x + 6

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Keep track of signs when the brackets have minuses.

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