SOLUTION: if x+y= a and X^2+y^2=b then find x^3+y^3

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Question 867161: if x+y= a and X^2+y^2=b then find x^3+y^3

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:x%2By=+a and x%5E2%2By%5E2=b
by definition, x%5E3%2By%5E3=%28x%2By%29%28x%5E2-x+y%2By%5E2%29 ......substitute given values
x%5E3%2By%5E3=a%28b-xy%29