Question

if x+y=5 and xy=6 then find x^3 + y^3

Answer 1

I hope it helps you

Answer 2

Answer:

The value of x³ + y³ is equal to 35.

Step-by-step explanation:

We know that the formula

             $(x+y)^{3}=x^{3} +y^{3}+3x^{2}y+3xy^{2}$           ..........(1)

Given that

            $x+y=5$ and $xy=6$

Put these values in the eq.(1)

        $(5)^{3}=x^{3} +y^{3}+3xy(x+y)$

         $125=x^{3} +y^{3}+3(6)(5)\\ 125=x^{3} +y^{3}+30\\ x^{3} +y^{3}=125-90\\ x^{3} +y^{3}=35$

Hence the value of  x³ + y³ will be equal to 35.