(3x⁵-5y)*(3x⁵+5y)

To simplify the expression \((3x^5 - 5y)(3x^5 + 5y)\), you can use the difference of squares formula, which states that \( (a - b)(a + b) = a^2 - b^2 \).

Here, let:

• \( a = 3x^5 \)
• \( b = 5y \)

Now, applying the difference of squares formula:

\[ (3x^5 - 5y)(3x^5 + 5y) = (3x^5)^2 - (5y)^2 \]

Calculating each square:

\[ (3x^5)^2 = 9x^{10} \] \[ (5y)^2 = 25y^2 \]

Putting it all together:

\[ (3x^5 - 5y)(3x^5 + 5y) = 9x^{10} - 25y^2 \]

So, the final simplified expression is:

\[ \boxed{9x^{10} - 25y^2} \]