x-y=8, xy=5 হলে x³-y³+8(x+y)²= কত?

The given answer is 1304 and it is correct based on the calculations involving the provided equations.

Let's briefly explain how to arrive at the answer:

    
1. We have the equations: x - y = 8 and xy = 5.
    
2. From the first equation, we can express x in terms of y: x = y + 8.
    
3. Substituting this expression into the second equation xy = 5 gives: (y + 8)y = 5.
    
4. This simplifies to a quadratic equation: y^2 + 8y - 5 = 0.
    
5. Next, we solve for y using the quadratic formula, and then find the corresponding x values.
    
6. Finally, plug in the values of x and y into the expression x³ - y³ + 8(x + y)². Through calculations, we arrive at the final answer of 1304.

This step-by-step process validates that the answer 1304 is indeed correct when properly calculated with the given equations.

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