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Question

State True or False.

(2x−y+z)2 = 4x2+y2+z2−4xy−2yz+4zx

A
True
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B
False
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Solution

The correct option is A True

Simplify given expression,

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

(2xy+z)2=[2x+(y)+z]2=(2x)2+(y)2+(z)2+2(2x)(y)+2(y)(z)+2(z)(2x)
=4x2+y2+z24xy2yz+4zx

Hence, given statement is true.

Hence the correct answer is A.


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