How do you simplify # (x + 4)(x + 7)#?

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Answer 1 · 2017-02-11T02:37:24

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)(4))(color(blue)(x) + color(blue)(7))# becomes:

#(color(red)(x) xx color(blue)(x)) + (color(red)(x) xx color(blue)(7)) + (color(red)(4) xx color(blue)(x)) + (color(red)(4) xx color(blue)(7))#

#x^2 + 7x + 4x + 28#

We can now combine like terms:

#x^2 + (7 + 4)x + 28#

#x^2 + 11x + 28#