How do you simplify #( x + 4) * ( 2x + 5)#?

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Answer 1 · 2017-05-29T21:54:15

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)(4)) * (color(blue)(2x) + color(blue)(5))# becomes:

#(color(red)(x) xx color(blue)(2x)) + (color(red)(x) xx color(blue)(5)) + (color(red)(4) xx color(blue)(2x)) + (color(red)(4) xx color(blue)(5))#

#2x^2 + 5x + 8x + 20#

We can now combine like terms:

#2x^2 + (5 + 8)x + 20#

#2x^2 + 13x + 20#