Let t = 2over5 , then the value of the expression t³ + (3/5)³ + 9over5 t is:

Let t = 2over5 , then the value of the expression t³ +…

Let t = $2\over5$ , then the value of the expression t³ + $\left(\frac{3}{5}\right)^3$ + ${9\over5} t$ is:

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 1.

t = $2\over5$

On putting this value in t³ + $\left(\frac{3}{5}\right)^3$ + ${9\over5} t$

⇒ ( $2\over5$ )³ + $\left(\frac{3}{5}\right)^3$ + ${9\over5} \times {2 \over 5}$

⇒ $8\over125$ + $\frac{27}{125}$ + $18\over25$

⇒ ${8+27+90}\over125$

⇒ $125\over125$ = 1