How do you multiply #(5x+8)(6x+3)#?

1 Answer
Jun 26, 2018

Answer:

#30x^2+63x+24#

Explanation:

#(color(red)(5x)+color(blue)8)(color(green)(6x)+color(brown)3)#

To get your answer you must add every combination of 2 colors outside of their own brackets, such as.

# (color(red)(5x)*color(green)(6x))+(color(red)(5x)*color(brown)3)+(color(blue)8*color(green)(6x))+(color(blue)8*color(brown)3) #

Notice #color(red)(5x)# is never multiplied by #color(blue)8# as they are in the same brackets.

This simplifies to #30x^2+15x+48x+24 rarr 30x^2+63x+24#