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

1 Answer
Jim G.
May 25, 2018

#4x^2+17x-15#

Explanation:

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

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

#=color(red)(4x)(x+5)color(red)(-3)(x+5)larrcolor(blue)"distribute"#

#=(color(red)(4x)xx x)+(color(red)(4x)xx5)+(color(red)(-3)xx x)+(color(red)(-3)xx5)#

#=4x^2color(blue)(+20x)color(blue)(-3x)-15larrcolor(magenta)"collect like terms"#

#=4x^2+17x-15#

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