How do you multiply #(x + 4)^2#?

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Answer 1 · 2017-02-10T12:59:27

See the entire solution process below:

This expression can be rewritten as:

#(x + 4)(x + 4)#

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)(4))# becomes:

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

#x^2 + 4x + 4x + 16#

We can now combine like terms:

#x^2 + (4 + 4)x + 16#

#x^2 + 8x + 16#