How do you multiply #(5x+3)(-x+4)#?

1 Answer
Sep 23, 2017

Answer:

#-5x^2+17x+12#

Explanation:

#"each term in the second bracket is multiplied by each "#
#"term in the first bracket"#

#(color(red)(5x+3))(-x+4)#

#=color(red)(5x)(-x+4)color(red)(+3)(-x+4)#

#=(color(red)(5x)xx-x)+(color(red)(5x)xx4)+(color(red)(3)xx-x)+(color(red)(3)xx4)#

#=-5x^2+20x-3x+12#

#=-5x^2+17x+12#