अगर x = z = 225 और y = 226 तो का मूल्य : x³ + y ³ + z^{3< /sup> – 3xyz is}

x = z = 225, y = 226

∴ x + y + z = 225 + 226 + 225 = 676

∴ x³ + y³ + z³ – 3 xyz

$=\frac{1}{2}(x+y+z)\left[(x-y)^{2}+(y-z)^{2}+(z-x)^{2}\right]$

$=\frac{1}{2} \times 676\left[(225-226)^{2}+(226-225)^{2}+(225-\right.$

$\left.225)^{2}\right]=\frac{1}{2} \times 676 \times(1+1)=676$