Question

solve this no spam❌​

Answer 1

ANSWER

154

EXPLANATION

see attachment

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Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{\frac{ {x}^{3} }{ {y}^{3} } + \frac{ {y}^{3} }{ {z}^{3} } + \frac{ {z}^{3} }{ {x}^{3} } - 3 =154}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies \frac{x}{y} + \frac{y}{z} + \frac{z}{x} = 7 \\ \\ \tt: \implies \frac{y}{x} + \frac{z}{y} + \frac{x}{z} =9 \\ \\\red{\underline \bold{To \: Find :}} \\ \tt: \implies \frac{ {x}^{3} }{ {y}^{3} } + \frac{ {y}^{3} }{ {z}^{3} } + \frac{ {z}^{3} }{ {x}^{3} } - 3 = ?$

• According to given question :

$\tt\circ \: Let \: \: \frac{x}{y} = a \\ \\ \tt\circ \: \: \: \frac{y}{z} = b \\ \\ \tt\circ \: \: \: \frac{z}{x} = b \\ \\ \bold{as \: according \: to \: question} \\ \tt: \implies \frac{ {x}^{3} }{ {y}^{3} } + \frac{ {y}^{3} }{ {z}^{3} } + \frac{ {z}^{3} }{ {x}^{3} } - 3 \\ \\ \tt: \implies {a}^{3} + {b}^{3} + {c}^{3} - 3abc \\ \\ \tt: \implies (a + b + c)({(a + b + c)}^{2} - 3(ab + bc + ca)) \\ \\ \tt: \implies ((7)( {(7) }^{2} - 3(9)) \\ \\ \tt: \implies7(49 - 27) \\ \\ \tt: \implies 7 \times 22 \\ \\ \green{\tt: \implies 154}$