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Mnenie [13.5K]
4 years ago
9

The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube? x3 – 6x2y + 12xy2 – 8y3 x3 + 6x2y + 12xy2 +

8y3 3x3 – 6x2y + 12xy2 – 24y3 3x3 + 6x2y + 12xy2 + 24y3
Mathematics
2 answers:
otez555 [7]4 years ago
8 0

V = x³ - 6x²y + 12xy² - 8y³

V = (x - 2y)³

   = (x - 2y)(x - 2y)(x - 2y) ( expand first pair of factors )

   = (x² - 4xy + 4y²)(x - 2y) ( multiply terms in first by terms in second )

   = x³ - 4x²y + 4xy² - 2x²y + 8xy² - 8y³ ( collect like terms )

  = x³ - 6x²y + 12xy² - 8y³




Arisa [49]4 years ago
7 0

Answer: A.

Step-by-step explanation:

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