Question

Which of the following is a factor of 1331x³ - 8y³?

4
11x - 2y
121x² + 44xy + 4y²
121x² - 22xy + 4y²​

Answer 1

`11x - 2y`

Step-by-step Step-by-step explanation:

Use the Difference of Cubes,
`[a - b][{a}^(2) + 2ab + {b}^(2)]`, to figure this out. Since −8 and 1331 are perfect cubes, you would simply take the cube root of everything to get this:

`11x - 2y = \sqrt[3]{1331{x}^(3) - 8{y}^(3)}`

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