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

Question

3 years ago

14

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

1 answer:

astraxan [27] · Answer 1 · 2022-12-13T10:08:30+03:00

The volume of the cube of side length x - 2y is $v = x^3 - 6x^2y + 12xy^2 - 8y^3$

<h3>How to determine the volume?</h3>

The length of the cube is given as:

s = x - 2y

The volume is given as:

$v = s^3$

So, we have:

$v = (x -2y)^3$

Evaluate the product

$v = x^3 - 6x^2y + 12xy^2 - 8y^3$

Hence, the volume of the cube of side length x - 2y is $v = x^3 - 6x^2y + 12xy^2 - 8y^3$