Question

11. Multiply (m² + 2m + 1) (m + 1). SHOW YOUR WORK

Answer 1

`m^3+3m^2+3m+1`

Explanation:

`(m^2+2m+1)(m+1)=(m^2)(m)+(m^2)(1)+(2m)(m)+(2m)(1)+(1)(m)+(1)(1)=m^3+m^2+2m^2+2m+1m+1=m^3+3m^2+3m+1`

You could also use the binomial theorem because the expression is equivalent to
`(m+1)^3` but either method works.