Q. evaluate the following x³+y²+z when x = -1,y=2 and z=3
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SOLUTION
Since x + y + z = 10
Squaring both sides we get x2 + y2 + z2 + 2(xy + yz + zx) = 100
x2 + y2 + z2 + 2 × 25 = 100
x2 + y2 + z2 = 50
We know that x3 + y3 +z3 – 3xyz = (x+y+z)( x2 + y2 + z2 – xy – yz – zx)
x3 + y3 + z3 – 3 × 100 = (10)(50 – 25)
x3 + y3 +z3 = 250 + 300 = 550
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6
Step-by-step explanation:
(-1)^3+(2)^2+3
-1+4+3
-1+7
6
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