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Factoring: Cubes

Factoring: Cubes. 2 Terms Both terms have nice third roots (MATH:4) MAY need to DIVIDE OUT first! Create 2 factors (CAN’T factor MORE!!) Short : binomial ( ³√first ³√last) Long : trinomial ((³√first)² (³√first)(³√last) (³√last)² Signs between terms: Short: Original

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Factoring: Cubes

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  1. Factoring: Cubes • 2 Terms • Both terms have nice third roots (MATH:4) • MAY need to DIVIDE OUT first! • Create 2 factors (CAN’T factor MORE!!) Short:binomial (³√first ³√last) Long : trinomial ((³√first)² (³√first)(³√last) (³√last)² Signs between terms: Short: Original Long: Opposite of original, Addition

  2. Examples: Cubes • 1. x³ + 125 • 2. 125x³ - 1 • 3. x³+ 64 • 4. 216x³ -1

  3. Examples: Cubes with Divide Out • 1. 16x³ - 54 • 2. 3x³ +24

  4. Examples: Cubes with Divide Out • 3. 3x³ +81 • 4. 40x³ - 5

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