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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
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

examples cubes
Examples: Cubes
  • 1. x³ + 125
  • 2. 125x³ - 1
  • 3. x³+ 64
  • 4. 216x³ -1
examples cubes with divide o ut
Examples: Cubes with Divide Out
  • 1. 16x³ - 54
  • 2. 3x³ +24
examples cubes with divide out
Examples: Cubes with Divide Out
  • 3. 3x³ +81
  • 4. 40x³ - 5