Question

1)the volume of a cuboid is given by the algebraic expression x^3+2x^2-x-2. determine the possible expressions for the dimensions of the cuboid.

2)factorise using suitable property 
(x+y-2z)^3+(y+z-2x)^3+(z+x-2y)^3

pls urgent

Answer 1

1.The given expression= x³+2x²-x-2
=x²(x+2)-1(x+2)
=(x+2)(x²-1)
=(x+2)(x+1)(x-1)
The possible dimensions are x+2 , x+1 and x-1 units.
2.(x+y-2z)³+(y+z-2x)³+(z+x-2y)³
it cannot be factorized.