This is the pattern:
(a + b + c)²
a² + b² + c³ +2ab + 2bc + 2ac
Then arrange in descending order:
a² + 2ab + 2ac + b² + 2bc + c² ⇒ 6 terms
Example:
(2x² + 4y + 2z)²
( a + b + c )²
Follow the pattern, then simplfy::
(2x²)² + 2 (2x²)(4y) + 2(2x²)(2z) + (4y)² + 2(4y)(2z) + (2z)²
Simplify:
[tex]4x ^{4} [/tex] + 16x²y + 8x²z + 16y² + 16yz + [tex]4z ^{4} [/tex]