How do you find the product #(8d+3)(5d+2)#?

1 Answer
Feb 17, 2017

Answer:

See the entire solution process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(8d) + color(red)(3))(color(blue)(5d) + color(blue)(2))# becomes:

#(color(red)(8d) xx color(blue)(5d)) + (color(red)(8d) xx color(blue)(2)) + (color(red)(3) xx color(blue)(5d)) + (color(red)(3) xx color(blue)(2))#

#40d^2 + 16d + 15d + 6#

We can now combine like terms:

#40d^2 + (16 + 15)d + 6#

#40d^2 + 31d + 6#