Question

(14.Without actually multiplying, find the volume of the cuboid, using identities when L = (x + y) units,
B=(x2 + y2 - xy) units and H=(x3 - y3 ) units.​

Answer 1

Here, volume = $\sf{LBH}$

First,

$\sf{LB=(x+y)(x^2+y^2-xy)}\\\\\sf{LB=(x^3+y^3)\ unit^2}$

And then,

$\sf{LBH=(x^3+y^3)(x^3-y^3)}\\\\\sf{\underline {\underline {LBH=(x^6-y^6)\ unit^3}}}$