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1. Factor 8x³y²x 12x²yz² + 16x³y³z (Common factor of highest degree)
2. Factor - 1( difference of cubes )
3. Factor c³ + 1/ sum of cubes )
4. Factor 3x³ y² - 12 ( difference of squares )​

1 Factor 8xyx 12xyz 16xyz Common Factor Of Highest Degree2 Factor 1 Difference Of Cubes 3 Factor C 1 Sum Of Cubes 4 Factor 3x Y 12 Difference Of Squares class=

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Answer:

  1. Factor 8x³y²z + 12x²yz + 16xy³z³

= 4xyz (2x²yz + 3xz + 4y²z²)

  1. Factor c³ - 1
  • a³ + b³ = (a - b) (a² + ab + b²) where a = c and b = 1.

= (c - 1) (c² + c + 1)

3. Factor c3 + 1

  • a³ + b³ = (a + b) (a² - ab + b²) where a = c and b = 1.

= (c + 1) (c² - c + 1)

4. Factor 3x²y² - 12

  • a² - b² = (a + b) (a - b) where a = xy and b = 2.

= 3 (xy + 2) (xy - 2)

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