if x = 1, y = 3 and z = 1, then find the value of xy + yz - 2
Answers
Answered by
2
Answer:
4
Step-by-step explanation:
xy + yz - 2
=1×3+3×1-2
=3+3-2
=6-2
=4
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Answered by
1
Answer:
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Step-by-step explanation:
Identity:x3 +y3 +z3 -3xyz = (x+y+z)( x2 +y2 +z2 -xy-yz-zx)
Since x + y + z = 1, xy + yz + zx = -1and xyz= -1,
Putting values, we get:
So
Now
(x+y+z)2 = x2 +y2 +z2 +2xy +2yz +2zx
12 = x2 +y2 +z2 +2(-1)
x2 +y2 +z2 = 3
Put in eq (i)
x3 +y3 +z3 =3-2 = 1
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