Question

# If $$x+y=12$$ and $$xy=27$$, find the value of $$x^3+y^3$$.

Solution

## Given that, $$x+y=12$$ and $$xy=27$$We know,$$(x+y)^3=x^3+y^3+3xy(x+y)$$Therefore,$$12^3=x^3+y^3+3\times 27\times 12$$$$1728=x^3+y^3+972$$$$x^3+y^3=1728-972=756$$$$\therefore x^3+y^3=756$$Mathematics

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