How do you find the product of #(4b+6)(b-4)#?

1 Answer
Dec 24, 2016

Answer:

#4b^2 - 10b - 24#

Explanation:

To find the product of these two terms you need to first cross multiply each term in the parenthesis on the left by each term in the parenthesis on the right:

#(color(red)(4b + 6))(color(blue)(b - 4)) ->#

#(color(red)(4b) * color(blue)(b)) - (color(red)(4b) * color(blue)(4)) + (color(red)(6) * color(blue)(b)) - (color(red)(6) * color(blue)(4)) ->#

#4b^2 - 16b + 6b - 24#

Next we can combine like terms:

#4b^2 + (-16 + 6)b - 24#

#4b^2 + (-10)b - 24#

#4b^2 - 10b - 24#