How do you multiply #(5 + x)(2x + 10)#?

2 Answers
Loweena Gonasegaran
Apr 16, 2018

#x^2 + 10x + 25#

Explanation:

#(5 + x)(2x + 10)#
#= 10x + 50 + 2x^2 + 10x#
#= 2x^2 + 10x + 10x + 50#
#= 2x^2 + 20x + 50#
Divide by 2 to get the simplest form:
#= x^2 + 10x + 25#

Jim G.
Apr 16, 2018

#2x^2+20x+50#

Explanation:

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

#rArr(color(red)(5+x))(2x+10)#

#=color(red)(5)(2x+10)color(red)(+x)(2x+10)#

#=(color(red)(5)xx2x)+(color(red)(5)xx10)+(color(red)(x)xx2x)+(color(red)(x)xx10)#

#=color(blue)(10x)color(magenta)(+50)+2x^2color(blue)(+10x)#

#"collect like terms"#

#=2x^2+20x+50larrcolor(red)"in standard form"#

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