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If 3x_2y=11 and xy=12 find the …

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If 3x_2y=11 and xy=12 find the value of 27x3-8y3

Posted by Tanishka Gothwal 5 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 5 years, 1 month ago

We know that,
(3x - 2y)³ = (3x)³ - (2y)³ - 3 {tex}\times{/tex} 3x {tex}\times{/tex} 2y(3x - 2y)
{tex}\Rightarrow{/tex} (11)³ = 27x³ - 8y³ - 18 {tex}\times{/tex} 12 {tex}\times{/tex} 11 [ {tex}\because{/tex} 3x - 2y = 11 and xy = 12]
{tex}\Rightarrow{/tex} 1331 = 27x³ - 8y³ - 2376
{tex}\Rightarrow{/tex} 27x³ - 8y³ = 2376 + 1331
{tex}\Rightarrow{/tex} 27x³ - 8y³ = 3707

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CBSE > Class 09 > Mathematics