Answer
$12z^{5x}+13z^{2x}-2z$
Work Step by Step
We are given $(14z^{5x}+3z^{2x}+z)-(2z^{5x}-10z^{2x}+3z)$. We can subtract the second polynomial from the first polynomial by adding the opposite of the second polynomial to the first polynomial.
$(14z^{5x}+3z^{2x}+z)+(-2z^{5x}+10z^{2x}-3z)$
Next, we can combine like terms to simplify.
$(14z^{5x}-2z^{5x})+(3z^{2x}+10z^{2x})+(z-3z)=12z^{5x}+13z^{2x}-2z$