Question

I keep forgetting the process for this: 3(x^2 + 5)(x^2 - 5) Can someone help?

Answer 1

see explanation

Explanation:

Note that (x² + 5)(x² - 5) are the factors of a difference of squares

a² - b² = (a + b)(a - b)

with a = x² and b = 5, hence

(x² + 5)(x² - 5) = (x²)² - 5² =
`x^(4)` - 25, thus

3(
`x^(4)` - 25) = 3
`x^(4)` - 75