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The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube?
4 months ago
Q:
The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube?
Accepted Solution
A:
Answer:The volume of cube = x³ -6x²y + 12xy² - 8y³Step-by-step explanation:It is given that,Side length of cube s = (x - 2y)Volume of cube = s³Points to remember(a - b)³ = a³ - 3a²b + 3ab² - b³To find the volume of cubes = (x - 2y)Volume V = s³ = (x - 2y)³(x - 2y)³ = x³ - (3 * x² * 2y) + (3 * x * (2y)²) - (2y)³ = x³ -6x²y + 12xy² - 8y³Therefore the volume of cube = x³ -6x²y + 12xy² - 8y³