Consider the given #10;expression, #10; #10; ⇒[ 5xy+y5x #10;]^3 #10; #10; ⇒( 5xy #10;)^3+( y5x)^3+3.( 5xy #10;).( y5x)^2+3.( 5xy #10; ...

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Linear Equation in 2 Variables

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Question

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${[\frac{5 x}{y} + \frac{y}{5 x}]}^{3}$

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Solution

Consider the given expression,

$\Rightarrow {[\frac{5 x}{y} + \frac{y}{5 x}]}^{3}$

$\Rightarrow {(\frac{5 x}{y})}^{3} + {(\frac{y}{5 x})}^{3} + 3. (\frac{5 x}{y}) . {(\frac{y}{5 x})}^{2} + 3. {(\frac{5 x}{y})}^{2} (\frac{y}{5 x})$

$\Rightarrow {\frac{125 x}{y^{3}}}^{3} + \frac{y^{3}}{125 x^{3}} + \frac{3 y}{5 x} + \frac{15 x}{y}$

Hence, this is the answer.

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