what is the simpler form of (5x^3+2)(5x^3-2)
The simpler form of (5x^3+2)(5x^3-2) can be found by applying the formula for the difference of squares, which states that (a + b)(a - b) = a^2 - b^2.
In this case, let's simplify each expression separately:
(5x^3)^2 = 25x^6
(2)^2 = 4
So now we have:
(5x^3+2)(5x^3-2) = (5x^3)^2 - (2)^2 = 25x^6 - 4.
Therefore, the simpler form is:
25x^6 - 4.