If 2x+3y=12andxy=16 then find 8x3+27y3
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Posted by Om Singh 4 years, 8 months ago
- 2 answers
Om Singh 4 years, 8 months ago
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Sia ? 4 years, 8 months ago
We have,
(2x + 3y) = 13
{tex}\Rightarrow{/tex} (2x + 3y)3 = 133
{tex}\Rightarrow{/tex} (2x)3 + (3y)3 + 3 {tex}\times{/tex} 2x {tex}\times{/tex} 3y(2x + 3y) = 133
{tex}\Rightarrow{/tex} 8x3 + 27y3 + 18xy(2x + 3y) = 2197
{tex}\Rightarrow{/tex} 8x3 + 27y3 + 18 {tex}\times{/tex} 6 {tex}\times{/tex} 13 = 2197
{tex}\Rightarrow{/tex} 8x3 + 27y3 + 1404 = 2197
{tex}\Rightarrow{/tex} 8x3 + 27y3 = 2197 - 1404 = 793
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