Question

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

Answer 1

`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`

Answer 2

`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"`