Answer
$(k+2)(12k^{3}-3k^{2}+k+1)=12k^{4}+21k^{3}-5k^{2}+3k+2$
Work Step by Step
$(k+2)(12k^{3}-3k^{2}+k+1)$
Evaluate the product indicated by multiplying the first and second terms of the first factor by every element in the second factor separately:
$(k+2)(12k^{3}-3k^{2}+k+1)=...$
$...=12k^{4}-3k^{3}+k^{2}+k+24k^{3}-6k^{2}+2k+2=...$
Simplify by combining like terms:
$...=12k^{4}+21k^{3}-5k^{2}+3k+2$
