Math, asked by Rakaa, 1 year ago

If x+y=a and x^2+y^2=b then find the value of x^3+y^3​

Answers

Answered by pal69
5
(x+y)²=x²+y²+2xy

=> a²=b+2xy

=> xy=(a²-b)/2

(x+y)³=x³+y³+3xy(x+y)

=> a³=x³+y³+(3/2)(a²-b)(a)

=>x³+y³=a³-(3/2)(a³-ab)

=>x³+y³=[2a³-3a³+3ab]/2

=> x³+y³=[3ab-a³]/2
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