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

Jun 1, 2017

$\left(3 {x}^{2} - 2\right) \left(x + 3\right) \left(x + 1\right)$

Explanation:

We have: $\left(3 {x}^{2} - 2\right) \left({x}^{2} + 4 x + 3\right)$

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

$= \left(3 {x}^{2} - 2\right) \left({x}^{2} + 3 x + x + 3\right)$

$= \left(3 {x}^{2} - 2\right) \left(x \left(x + 3\right) + 1 \left(x + 3\right)\right)$

$= \left(3 {x}^{2} - 2\right) \left(x + 3\right) \left(x + 1\right)$