Let t = 2/5, then find the value of the expression

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1747841693/aptidude_questions/bot9vhgldfwpid6n9ymz.png)

Question

Let t = 2/5, then find the value of the expression

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1747841693/aptidude_questions/bot9vhgldfwpid6n9ymz.png)

Accepted Answer

Given t = 2/5, we need to find the value of t^3 + (3/5)^3 + (9/5) * t.

Step 1: Calculate t^3 = (2/5)^3 = 8/125.
Step 2: Calculate (3/5)^3 = 27/125.
Step 3: Calculate (9/5) * t = (9/5) * (2/5) = 18/25.

Step 4: Convert all terms to a common denominator (125):
18/25 = (18 * 5) / 125 = 90/125.

Step 5: Sum all terms:
8/125 + 27/125 + 90/125 = (8 + 27 + 90) / 125 = 125/125 = 1.

Therefore, the value of the expression is 1.

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