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

2 Answers

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

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"