Subtract the polynomials.
\[
\left(5 a^{5}+7 a^{2}-4\right)-\left(9 a^{5}-5 a^{2}+18\right)
\]
\(\boxed{-4 a^{5} + 12 a^{2} - 22}\) is the result of the subtraction.
Step 1 :Given two polynomials \(5 a^{5}+7 a^{2}-4\) and \(9 a^{5}-5 a^{2}+18\), we are asked to subtract the second polynomial from the first.
Step 2 :To subtract polynomials, we subtract the corresponding terms in the two polynomials. In this case, we subtract the coefficients of the \(a^{5}\) terms, the \(a^{2}\) terms, and the constant terms separately.
Step 3 :Subtracting the \(a^{5}\) terms: \(5 a^{5} - 9 a^{5} = -4 a^{5}\)
Step 4 :Subtracting the \(a^{2}\) terms: \(7 a^{2} - (-5 a^{2}) = 12 a^{2}\)
Step 5 :Subtracting the constant terms: \(-4 - 18 = -22\)
Step 6 :Combining these results, we get the final polynomial: \(-4 a^{5} + 12 a^{2} - 22\)
Step 7 :\(\boxed{-4 a^{5} + 12 a^{2} - 22}\) is the result of the subtraction.