Question
Expand each of the following using suitable identities:
(x + 2y + 4z)2
Solution
(x + 2y + 4z)2
(x + 2y + 4z)2 = (x)2 + (2y)2 + (4z)2 + 2(x)(2y) + 2(2y)(4z) + 2(4z)(x)
| Using Identity V
= x2 + 4y2 + 16z2 + 4xy + 16yz + 8 zx