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 +

Question

4 years ago

9

8y3 3x3 – 6x2y + 12xy2 – 24y3 3x3 + 6x2y + 12xy2 + 24y3

2 answers:

otez555 [7] · Answer 1 · 2021-12-01T16:31:43+03:00

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] · Answer 2 · 2021-12-01T18:08:36+03:00

Arisa [49]4 years ago

7 0

Answer: A.

Step-by-step explanation: