Simplify each of the following expressions:(i) (x+y+z)2+x+y2+z32-x2+y3+z42(ii) (x + y− 2z)2 − x2 − y2 − 3z2 + 4xy(iii) (x2− x + 1)2 − (x2 + x + 1)2

Simplify each of the following expressions:(i) (x+y+z)2+x+y2+z32-x2+y3

1.	Simplify each of the following expressions:(i) (x+y+z)2+x+y2+z32-x2+y3+z42(ii) (x + y− 2z)2 − x2 − y2 − 3z2 + 4xy(iii) (x2− x + 1)2 − (x2 + x + 1)2
Answer» Simplify each of the following expressions: (i) $(x + y + z)^{2} + {(x + \frac{y}{2} + \frac{z}{3})}^{2} - {(\frac{x}{2} + \frac{y}{3} + \frac{z}{4})}^{2}$ (ii) (x + y− 2z)² − x² − y² − 3z² + 4xy (iii) (x²− x + 1)² − (x² + x + 1)²