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Vlad1618 [11]
3 years ago
12

Which of the following is a difference of cubes? x^6 + 27y^9 3x^9 - 64y^3 27x^{15} - 9y^3 125x^{21} - 64y^3

Mathematics
2 answers:
astraxan [27]3 years ago
7 0

Answer:

  • D) 125x²¹- 64y³  

Step-by-step explanation:

  • A) x⁶ + 27y⁹ = (x²)³ + (3y³)³  - sum of cubes
  • B) 3x⁹ - 64y³ - the first term is not a cube
  • C) 27x¹⁵ - 9y³ - the second term is not a cube
  • D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

Correct option is the last one

bearhunter [10]3 years ago
7 0

Answer:

D) 125x²¹- 64y³  

Step-by-step explanation:

A) x⁶ + 27y⁹ = (x²)³ + (3y³)³  - sum of cubes

B) 3x⁹ - 64y³ - the first term is not a cube

C) 27x¹⁵ - 9y³ - the second term is not a cube

D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

<u>Correct option is the last one</u>

<u></u>

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