Question

How do you simplify `(3x^2 - 2)(x^2 + 4x + 3)`?

Answer 1

`(3 x^(2) - 2) (x + 3) (x + 1)`

Explanation:

We have: `(3 x^(2) - 2)(x^(2) + 4 x + 3)`

Let's factorise the expression within the second set of parentheses:

`= (3 x^(2) - 2) (x^(2) + 3 x + x + 3)`

`= (3 x^(2) - 2) (x (x + 3) + 1 (x + 3))`

`= (3 x^(2) - 2) (x + 3) (x + 1)`