Question

expand each of the following using suitable distance identies (2x-y+z)²​

Answer 1

Using identity,

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Here, a = 2x, b = –y & c = z

(2x – y + z)²

 = (2x)² + (-y)² + z² + (2×2x×-y) + (2×-y×z) + (2×z×2x)

= 4x² + y² + z² – 4xy – 2yz + 4xz

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