3x +2y=9, xy = 3
find 27x3 + 8y3
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2
Answer:
✅Here's your answer
#(a) ^3 +(b) ^3 = (a+b) (a^2 -ab+b^2)
✔Given : 3x +2y=9 , xy =3
So
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5
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3x + 2y = 9
xy = 3
(3x + 2y)^3 = (3x)^3 + (2y)^3 + 3(3x)(2y)(3x + 2y)
[Identity: (a + b)^3 = a^3 + b^3 + 3ab(a + b)]
=> 9^3 = 27x^3 + 8y^3 + 3(6xy)(9)
=> 729 = 27x^3 + 8y^3 + 27(6×3)
=> 729 - 486 = 27x^3 + 8y^3
=> 27x^3 + 8y^3 = 243
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