Question

The volume of a cube is given by algebraic expression x^3 - 9x^2 + 27x - 27. Find the possible expression for the side of the cube.​

Answer 1

Answer:

Side = x - 3

Step-by-step explanation:

The volume of the cube is the side cubed, so we need to write the given expression as  ( ... )³.  The "..." inside the brackets will then be the side.

Recall the expansion

    ( a - b )³  =  a³ - 3a²b + 3ab² - b³.

The given expression matches this with a=x and b=3.  So it is

      x³ - 9x² + 27x - 27  =  ( x - 3 )³.

So the side is x-3.

Hope this helps!

Answer 2

Answer:

(x-3)

Step-by-step explanation:

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