How do you simplify the product #(x + 5)(x + 4) # and write it in standard form?

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Answer 1 · 2017-08-22T12:23:01

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)(5))(color(blue)(x) + color(blue)(4))# becomes:

#(color(red)(x) xx color(blue)(x)) + (color(red)(x) xx color(blue)(4)) + (color(red)(5) xx color(blue)(x)) + (color(red)(5) xx color(blue)(4))#

#x^2 + 4x + 5x + 20#

We can now combine like terms:

#x^2 + (4 + 5)x + 20#

#x^2 + 9x + 20#