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Question
Expand the following, using suitable identity:
(2x – y + z)2
Solution
It is known that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
(2x – y + z)2 = (2x)2 + (–y)2 + (z)2 + 2(2x)(–y) + 2(–y)(z) + 2(z)(2x)
= 4x2 + y2 + z2 - 4xy – 2yz + 4xz
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