Factorize x square+y square-z square -2xy
Answers
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Step-by-step explanation:
x
2
+y
2
+z
2
−xy−yz−zx
=2(x
2
+y
2
+z
2
−xy−yz−zx) (multiply by 2)
=2x
2
+2y
2
+2z
2
−2xy−2yz−2zx
=x
2
+x
2
+y
2
+y
2
+z
2
+z
2
−2xy−2yz−2zx
=(x
2
+y
2
−2xy)+(y
2
+z
2
−2yz)+(z
2
+x
2
−2zx)
=(x−y)
2
+(y+z)
2
+(z+x)
2
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