Question

If x + y = 10 and xy = 5, find the value of x³ +y³​

Answer 1

Answer:

Answer:

1150

Step-by-step explanation:

Given :

\begin{gathered}x - y = 10 \\ \\ xy = 5 \\ \end{gathered}

x−y=10

xy=5

To Find :

{x}^{3} - {y}^{3}x

3

−y

3

Solution :

\begin{gathered} {x}^{3} - {y}^{3} \\ \\ {(x - y)}^{3} + 3xy(x - y) \\ \\ {(10)}^{3} + 3.5(10) \\ \\ 1000 + 150 \\ \\ 1150\end{gathered}

x

3

−y

3

(x−y)

3

+3xy(x−y)

(10)

3

+3.5(10)

1000+150

1150

Answer 2

Answer:

given that,

x+y=10

and xy=5

therefore by using the formula

-------------------------------------

x³ + y³ =(x + y) ³ -3xy(x+y)

-------------------------------------

we obtain, (substitution)

=> (10) ³ - 3×5 (10)

=> 1000 -150

=>850(Ans)

850 is your correct answer

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