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Year 8 maths · N.10 · Simplify expressions

Factor out the greatest common factor

Find the largest number that divides both terms, then write it outside parentheses.

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  1. Factor out the greatest common factor: 20x − 15. Write it as g(ax + b).

    Answer: 5(4x - 3)

  2. Factor out the greatest common factor: 6x − 2. Write it as g(ax + b).

    Answer: 2(3x - 1)

  3. Factor out the greatest common factor: 2x + 6. Write it as g(ax + b).

    Answer: 2(x + 3)

Tip: Find the largest number that divides both terms, then write it outside parentheses.

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