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