Question

the volume of cubiod is x^3-3x^2-x+3.give expression for its length,breadth and height. ​

Answer 1

Answer:

l=(x+1), b=(x-1), h=(x-3)

Step-by-step explanation:

Volume,V=lbh=x^3-3x^2-x+3

we can factor it out into 3 factors and give the three to 'l','b' and 'h'.

${x}^{3} - 3 {x}^{2} - x + 3 = {x}^{2} (x - 3) - 1(x - 3)$

$= ( {x}^{2} - 1)(x - 3) = (x + 1)(x - 1)(x - 3)$