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

1 Answer
Jun 1, 2017

Answer:

#(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)#