Question

How do you simplify `(5w^3+3w^2+8w+2)+(7w^2+3w+1)`?

Answer 1

`5w^3+10w^2+11w+3`

Explanation:

Add terms with identical variable components:

`5color(red)(w^3)+color(white)("x")3color(blue)(w^2)+color(white)("x")8color(magenta)w+2`
`ul(color(white)(0w^3)+color(white)("x")7color(blue)(w^2)+color(white)("x")3color(magenta)w+1)`
`5w^3+10w^2+11w+3`