ONTARIO GRADE 11 & 12 MATH LESSONS AND PRACTICE TESTS
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To fully factor: 216 − (x + 4)³, we treat it as a difference of cubes: a³ − b³. We need both terms written as perfect cubes.
you: how do I know to use difference of cubes?
Good question. (x + 4)³ being cubed is the clue we need difference of cubes, so 216 has to be a cube too. Run through small cubes: 1³ = 1, 2³ = 8 … 6³ = 216, and there it is.
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