How do you simplify (5w^3+3w^2+8w+2)+(7w^2+3w+1)(5w3+3w2+8w+2)+(7w2+3w+1)?

1 Answer
May 4, 2017

5w^3+10w^2+11w+35w3+10w2+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+25w3+x3w2+x8w+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