How do you multiply #(x^2 + 3x)(x + 1)#?

2 Answers
Jun 9, 2018

Answer:

#x^3+4x^2+3x#

Explanation:

multiplying out:

#x^3+3x^2+x^2+3x=x^3+4x^2+3x#

Jun 9, 2018

Answer:

#x^3+4x^2+3x#

Explanation:

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

#(color(red)(x^2+3x))(x+1)#

#=color(red)(x^2)(x+1)color(red)(+3x)(x+1)larrcolor(blue)"distribute"#

#=(color(red)(x^2)xx x)+(color(red)(x^2)xx1)+(color(red)(3x)xx x)+(color(red)(3x)xx1)#

#=x^3color(blue)(+x^2)color(blue)(+3x^2)+3xlarrcolor(magenta)"collect like terms"#

#=x^3+4x^2+3x#