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Question

The expansion of (2x+2yz)2 is ______.

A
4x2+4y2+z2+8xy4yz4xz
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B
4x2+4y2+4z2+8xy4yz4xz
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C
4x2+4y2+z2+8xy8yz4xz
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D
4x2+4y2+z2+8xy4yz8xz
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Solution

The correct option is A 4x2+4y2+z2+8xy4yz4xz
Using the identity, ( a+b+c)2 = a2+b2+c2+2ab+2bc+2ca,

(2x+2yz)2 = (2x)2+(2y)2+(z)2+2(2x)(2y)+2(2y)(z)+2(z)(2x)

= 4x2+4y2+z2+8xy4yz4xz.

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