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

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Answer 1 · 2017-06-19T19:57:24

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)(a) + color(red)(2))(color(blue)(a) + color(blue)(5))# becomes:

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

#a^2 + 5a + 2a + 10#

We can now combine like terms:

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

#a^2 + 7a + 10#