Question

if expression p(x)=8x^3 -12x^2+6x-1 represents the volume of a cuboid show that it is cube

Answer 1

p(x)=8x^3 -12x^2+6x-1

p(x) = (2x)³ - ( 1)³ -3(2x)(1)(2x+1)

p(x) =( 2x-1)³

p(x) = volume = (side)³

Therefore, p(x) represents a volume of cube with side 2x-1 .

Therefore, p(x) is a volume then the figure is cube

Side = 2x - 1 .