What are the possible expressions for the dimensions of the cuboids whose volumesare given below?(i) Volume: `3x^2-12 x` (ii) Volume: `12 k y^2+8k x-20 k`

Explanation

(i) We have, volume of cuboid `=3x^(2)-12x=3x(x-4)`
One possible expressions for the dimensions of the cuboid is 3, x and x-4.
(ii) We have, volume of cuboid`=(12ky^(2)+8ky-20k=12ky^(2)+20ky-12ky-20k`
=4ky(3y+5)-4k(3y+5)=(3y+5)(4ky-4k)
=(3y+5)4k(y-1)
One possible expression for the dimensions of the cuboid is 4k, 3y+5 and y-1.