Question

Simplify fully
(x²+3)² - (x²-1)²

Answer 1

8x² + 8

Explanation:

Given

(x² + 3)² - (x² - 1)² ← expand factors using FOIL

=
`x^(4)` + 6x² + 9 - (
`x^(4)` - 2x² + 1) ← distribute by - 1

=
`x^(4)` + 6x² + 9 -
`x^(4)` + 2x² - 1 ← collect like terms

= 8x² + 8