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

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Answer 1 · 2017-02-19T18:10:43

See the entire simplification 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)(3))(color(blue)(x) + color(blue)(2))# becomes:

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

#x^2 + 2x + 3x + 6#

We can now combine like terms:

#x^2 + (2 + 3)x + 6#

#x^2 + 5x + 6#