How do you express #(3x + 3) ( 2x + 6)# as a trinomial?

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Answer 1 · 2017-02-20T14:46:37

#6x^2 + 24x + 18#

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

#(color(red)(3x) + color(red)(3))(color(blue)(2x) + color(blue)(6))# becomes:

#(color(red)(3x) xx color(blue)(2x)) + (color(red)(3x) xx color(blue)(6)) + (color(red)(3) xx color(blue)(2x)) + (color(red)(3) xx color(blue)(6))#

#6x^2 + 18x + 6x + 18#

We can now combine like terms:

#6x^2 + (18 + 6)x + 18#

#6x^2 + 24x + 18#