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Mathematics
Mathematics
Problem
Let
A
=
x
+
y
+
z
,
B
=
x
+
y
−
z
,
C
=
x
−
y
+
z
.
A=x+y+z,\; B=x+y-z,\; C=x-y+z.
A
=
x
+
y
+
z
,
B
=
x
+
y
−
z
,
C
=
x
−
y
+
z
.
(i) Calculate and simplify the product
A
B
C
A\,B\,C
A
B
C
so that all like terms are combined. (ii) Evaluate your simplified expression for
x
=
2
,
y
=
1
,
z
=
−
1
x=2,\;y=1,\;z=-1
x
=
2
,
y
=
1
,
z
=
−
1
.
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