x(x+ y2 +z) + y (x + y +z) - z (x + y2)
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Step-by-step explanation:
x
2
=y+z,y
2
=x+z,z
2
=x+y⟶1
1+x
1
+
1+y
1
+
1+z
1
=
1+x
1+x−x
+
1+y
1+y−y
+
1+z
1+z−z
=1−
1+x
x
+1
1+y
y
+1−
1+z
z
=3−(
x+x
2
x
2
+
y+y
2
y
2
+
z+z
2
z
2
)
( Multiplied numerator and denominator byx,y and z in the 3 terms )
=3−(
x+y+z
y+z
+
x+y+z
z+x
+
x+y+z
x+y
)
=3−2
(x+y+z)
(x+y+z)
=3−2
=1
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