What is the simpler form of (5x^3 + 2)(5x^3 – 2)?

Answer 1

To simplify the expression, we will use the formula for the product of two binomials:

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

In this case, we have (5x^3 + 2)(5x^3 - 2), which can be rewritten as:

(5x^3)^2 - (2)^2
= 25x^6 - 4

Therefore, the simpler form of (5x^3 + 2)(5x^3 - 2) is 25x^6 - 4.