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

1 Answer
smendyka
Oct 17, 2017

See a solution process below:

Explanation:

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#

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