x^2 + y^2 + z2 + 2xy – 2yz – 2zx =
x2 + y2 + z2 + 2xy – 2yz – 2zx =
A) (x + y + z)2
B) (x – y + z)2
C) (x + y – z)2
D) (x – y – z)2
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2 Answers
Correct option is (C) (x + y – z)2
\(x^2+y^2+z^2+2xy-2yz-2zx\) \(=x^2+y^2+(-z)^2+2\times x\times y\) \(+2\times y\times-z+2\times-z\times x\)
= \((x+y-z)^2\)
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Answered