How do you find the product #(x+5)(x+2)#?

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Answer 1 · 2018-03-18T21:59:42

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)(2))# becomes:

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

#x^2 + 2x + 5x + 10#

We can now combine like terms:

#x^2 + (2 + 5)x + 10#

#x^2 + 7x + 10#