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

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Answer 1 · 2017-10-17T12:47:02

See a solution process below:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$(color(red)(x) + color(red)(2))(color(blue)(2x^2) + color(blue)(3))$ becomes:

$(color(red)(x) xx color(blue)(2x^2)) + (color(red)(x) xx color(blue)(3)) + (color(red)(2) xx color(blue)(2x^2)) + (color(red)(2) xx color(blue)(3))$

$2x^3 + 3x + 4x^2 + 6$

We can write this in standard form as:

$2x^3 + 4x^2 + 3x + 6$

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