if (x+y+z)=10 and x^2+y^2+z^2=40,then (xy+yz+zx) is equal to ?
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Answer:
We know that
(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx
So, ATQ x+y+z=10
x^2+y^2+z^2=40
then,
10^2=40+2(xy+yz+xx)
=>100=40+2(xy+yz+xx)
=>xy+yz+xx=(100-40)/2
=>xy+yz+xx=30
hope it helps
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