How do you multiply # ( 8x + 6) ( x-2) #?

1 Answer
Jun 26, 2015

Answer:

#(8x+6)(x-2) = 8x^2-10x-12#

Explanation:

This multiplication can be done in several ways: [1] using the distributive property; [2] using FOIL; [3] using a tabular multiplication.
The following uses the distributive approach.

#(color(red)(8x)+color(blue)(6))(x-2)#
applying the distributive property:
#color(white)("XXXX")##=(color(red)(8x))(x-2) + (color(blue)(6))(x-2)#
multiplying the two terms separately
#color(white)("XXXX")##(color(red)(8x^2-16x))+(color(blue)(6x-12))#
combine terms
#color(white)("XXXX")##8x^2-10x-12#