How do you find the product $(3m+5)(2m+3)$ ?

Question

5491 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-20T16:12:43

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.

$(color(red)(3m) + color(red)(5))(color(blue)(2m) + color(blue)(3))$ becomes:

$(color(red)(3m) xx color(blue)(2m)) + (color(red)(3m) xx color(blue)(3)) + (color(red)(5) xx color(blue)(2m)) + (color(red)(5) xx color(blue)(3))$

$6m^2 + 9m + 10m + 15$

We can now combine like terms:

$6m^2 + (9 + 10)m + 15$

$6m^2 + 19m + 15$

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