How do you find the product #(8w+4x)(5w-6x)#?

1 Answer
Jan 8, 2017

Answer:

See full process description below:

Explanation:

First, cross multiply each term in the left parenthesis by each term in the right parenthesis:

#(color(red)(8w) + color(red)(4x))(color(blue)(5w) - color(blue)(6x))#

#(color(red)(8w) xx color(blue)(5w)) - (color(red)(8w) xx color(blue)(6x)) + (color(red)(4x) xx color(blue)(5w)) - (color(red)(4x) xx color(blue)(6x))#

#40w^2 - 48wx + 20wx - 24x^2#

Now we can combine like terms to finalize the calculation:

#40w^2 + (-48 + 20)wx - 24x^2#

#40w^2 + (-28)wx - 24x^2#

#40w^2 - 28wx - 24x^2#