Question

if x+y=12 and xy is equal to 27 find the value of x³+y³

Answer 1

Step-by-step explanation:

$\purple{\sf \underline {\boxed{ \red{Given \colon}}}} \\ x + y = 12 \\ x y = 27 \\ \purple{\sf \underline {\boxed{ \red{ To find\colon}}}} \\ Value \: of \: {x}^{3} + {y}^{3} \\ \purple{\sf \underline {\boxed{ \red{ Solution\colon}}}} \\ {x}^{3} + {y}^{3} = {(x + y)}^{3} - 3xy(x + y) \\ {x}^{3} + {y}^{3} = {(12)}^{3} - 3(27)(12) \\ {x}^{3} + {y}^{3} = 1728 - 972 \\ \purple{ \sf{ \boxed{ \underline{ \red{{x}^{3} + {y}^{3} = 756}}}}}$

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