If 3x + 2y = 12 and xy = 6 then find the value of 27x^3 + 8y^3
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Answer:
1620
Step-by-step explanation:
3x+2y=12
Cubing both sides we have
(3x+2y)^3=(12)^3
=>(3x)^3 +(2y)^3+3X3xX2y=1728
=>27x^3+8y^3 +18xy=1728
=>27x^3 +8y^3+108=1728
=>27x^3+8y^3=1728-108
=>27x^3+8y^3=1620
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