How do you multiply #(b + 5) ( 5b + 3)#?

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Answer 1 · 2017-05-23T17:53:55

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)(b) + color(red)(5))(color(blue)(5b) + color(blue)(3))# becomes:

#(color(red)(b) xx color(blue)(5b)) + (color(red)(b) xx color(blue)(3)) + (color(red)(5) xx color(blue)(5b)) + (color(red)(5) xx color(blue)(3))#

#5b^2 + 3b + 25b + 15#

We can now combine like terms:

#5b^2 + (3 + 25)b + 15#

#5b^2 + 28b + 15#