5. If 3x + 2y = 14 and xy = 8Then, 27³x+8y³ =

1.	5. If 3x + 2y = 14 and xy = 8Then, 27³x+8y³ =
Answer» <html><body><p>please mark me as the BRAINLIESTStep-by-step explanation:AnswerIt is <a href="https://interviewquestions.tuteehub.com/tag/given-473447" style="font-weight:bold;" target="_blank" title="Click to know more about GIVEN">GIVEN</a> that 3x+2y=12 and xy=6.We find the <a href="https://interviewquestions.tuteehub.com/tag/value-1442530" style="font-weight:bold;" target="_blank" title="Click to know more about VALUE">VALUE</a> of <a href="https://interviewquestions.tuteehub.com/tag/27x-299239" style="font-weight:bold;" target="_blank" title="Click to know more about 27X">27X</a> <a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a> +8y 3 as <a href="https://interviewquestions.tuteehub.com/tag/shown-1206565" style="font-weight:bold;" target="_blank" title="Click to know more about SHOWN">SHOWN</a> below:27x 3 +8y 3 =(3x) 3 +(2y) 3 =(3x+2y)[(3x) 2 −(3x×2y)+(2y) 2 ](∵a³+b³=(a+b)(a²−ab+b²))=12[(3x) 2 −(6×xy)+(2y) 2 ](∵3x+2y=12,xy=6)=12[(3x) 2 −(6×6)+(2y) 2 ]=12[(3x) 2 −36+(2y) 2 ]=12[(3x) 2 +(2y) 2 +(2×3x×2y)−(2×3x×2y)−36]=12[(3x+2y) 2 −12xy−36]=12[(12) 2 −(12×6)−36]=12(144−72−36)=12(144−108)=12×36=432Hence, 27x 3 +8y 3 =432.</p></body></html>

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