Question

Factorize this with proper steps. Plz solve it on a piece of paper and send a picture of that!!! PLEASEEEE!!


$x^{2}$+$y^{2}$+$\frac{[tex]z^{2}$}{4}[/tex]+2xy-yz-zx

Answer 1

Answer:

Step-by-step explanation:

2 ( x2 + y2  + z2 - xy - yz - zx  )

⇒2 x2 + 2y2  + 2z2 - 2xy - 2yz - 2zx 

⇒ x2 + x2 +  y2  + y2  +  z2 + z2 - 2xy - 2yz - 2zx 

⇒ x2 +  y2  - 2xy  + y2  +  z2 - 2yz + z2 +  x2 - 2zx 

⇒ ( x - y )2 +  ( y - z )2 + ( z - x )2

From above equation we can see that for distinct value of x , y  and z given equation is always positive .

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Answer 2

solution is attached above .....