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

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Answer 1 · 2017-06-01T10:56:21

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

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

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

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

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

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

How do you simplify (3x^2 - 2)(x^2 + 4x + 3)(3x2−2)(x2+4x+3)(3x^2 - 2)(x^2 + 4x + 3)?