How do you express the product of #x+1# and #x+8# in standard quadratic form?

1 Answer
Apr 17, 2018

#x^2+9x+8#

Explanation:

#"to multiply "(x+1)(x+8)#

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

#rArr(color(red)(x+1))(x+8)#

#=color(red)(x)(x+8)color(red)(+1)(x+8)larrcolor(blue)"distribute"#

#=(color(red)(x)xx x)+(color(red)(x)xx8)+(color(red)(1)xx x)+(color(red)(1)xx8)#

#=x^2color(blue)(+8x)color(blue)(+x)+8larrcolor(magenta)"collect like terms"#

#=x^2+9x+8#