(3,5p-1,2k)(3,5p+1,2k)

To simplify the expression (3,5p-1,2k)(3,5p+1,2k), you can use the distributive property.

First, multiply the first terms together:

(3)(3) = 9

Next, multiply the second terms together:

(5p - 1)(5p + 1)

To simplify the expression (5p - 1)(5p + 1), you can use the formula for multiplying the sum and difference of two terms:

(a - b)(a + b) = a^2 - b^2

In this case, a = 5p and b = 1.

(5p - 1)(5p + 1) = (5p)^2 - (1)^2 = 25p^2 - 1

Finally, multiply the third terms together:

(2k)(2k) = 4k^2

Now, you can put all the terms together:

(3,5p-1,2k)(3,5p+1,2k) = 9*(25p^2 - 1)*(4k^2) = 9 * 25p^2 - 9 * 1 * 4k^2 = 225p^2 - 36k^2