Multiply the single term $m+1$ by each term of the polynomial $\left(m+4\right)$
Multiply the single term $m$ by each term of the polynomial $\left(m+1\right)$
When multiplying two powers that have the same base ($m$), you can add the exponents
Multiply the single term $4$ by each term of the polynomial $\left(m+1\right)$
Combining like terms $m$ and $4m$
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