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

2 Answers
Jun 9, 2018

x^3+4x^2+3x

Explanation:

multiplying out:

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

Jun 9, 2018

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