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Grade 6 math · N.2 · Equivalent Expressions

Factor out a common factor from a sum with a letter

Find the biggest number that divides every term. Write it outside the brackets, then divide each term by it.

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See worked examples
  1. Factor out the greatest common factor: 10 + 8x

    Answer: 2(5 + 4x)

  2. Factor out the greatest common factor: 10t + 4w

    Answer: 2(5t + 2w)

  3. Factor out the greatest common factor: 2y + 8

    Answer: 2(y + 4)

Tip: Find the biggest number that divides every term. Write it outside the brackets, then divide each term by it.

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