Question

the volume of a cube is given by 8 x cube minus 36 X square + 54 x minus 27, find the possible expressions for the sides of the cube.

Answer 1

Volume of cube= 8x³-36x²+54x-27
l³=8x³-36x²+54x-27
l³=(2x)³-[3.(2x)².3]+3.2x.(3)²-3³
l³=(2x-3)³                                    [∵it is in the form of (a-b)³]
∴l=2x-3
∴suitable expression for edge of cube is 2x-3