find the value of 27x³+8y³if 3x+2y=20 and xy=14/9
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27x³+8y³
=(3x)³+(2y)³
a³+b³ = (a+b)³-3ab(a+b)
=(3x+2y)³-3(3x)(2y)(3x+2y)
=(20)³-18xy(20)
=(8000)-360(xy)
=8000-360(14/9)
=8000-40(14)
=8000-560
=7440
Hope it helps
=(3x)³+(2y)³
a³+b³ = (a+b)³-3ab(a+b)
=(3x+2y)³-3(3x)(2y)(3x+2y)
=(20)³-18xy(20)
=(8000)-360(xy)
=8000-360(14/9)
=8000-40(14)
=8000-560
=7440
Hope it helps
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1
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