Question

expand each of the following equation suitable identities.
x +2
$(x + 2y + 4z)2$
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Answer 1

Answer:

x2 + 4y2 + 16z2 + 4xy + 16yz + 8xz

Step-by-step explanation:

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

Here a = x, b = 2y and c = 4z

⇒ (x + 2y + 4z)2 = x2 + (2y)2 + (4z)2 + 2(x)(2y) + 2(2y)(4z) + 2(4z)(x)

Therefore

(x + 2y + 4z)2 = x2 + 4y2 + 16z2 + 4xy + 16yz + 8xz