Exercise
$\left(3m^n+2m^{n+1}+1\right)\cdot\left(m^{-n}+m^0\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Expand the expression (3m^n+2m^(n+1)+1)(m^(-n)+m^0). Any expression (except 0 and \infty) to the power of 0 is equal to 1. Multiply the single term m^{-n}+1 by each term of the polynomial \left(3m^n+2m^{\left(n+1\right)}+1\right). Multiply the single term 3m^n by each term of the polynomial \left(m^{-n}+1\right). When multiplying exponents with same base we can add the exponents.
Expand the expression (3m^n+2m^(n+1)+1)(m^(-n)+m^0)
Final answer to the exercise
$4+3m^n+2m+2m^{\left(n+1\right)}+m^{-n}$