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

1 Answer
Feb 17, 2017

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