Answer
$(2m+1)(4m^{2}-2m+1)=8m^{3}+1$
Work Step by Step
$(2m+1)(4m^{2}-2m+1)$
Evaluate the product indicated by multiplying the first term and second term of the first factor by every element in the second factor separately:
$(2m+1)(4m^{2}-2m+1)=...$
$...=8m^{3}-4m^{2}+2m+4m^{2}-2m+1=...$
Simplify:
$...=8m^{3}+1$