1. **State the problem:** Subtract the polynomial $(9b - 4)$ from $(5b^3 + 9b + 4)$. We want to find $(5b^3 + 9b + 4) - (9b - 4)$. 2. **Write the subtraction explicitly:** $$ (5b^3 + 9b + 4) - (9b - 4) $$ 3. **Distribute the minus sign to the second polynomial:** $$ 5b^3 + 9b + 4 - 9b + 4 $$ 4. **Combine like terms:** - The $9b$ and $-9b$ cancel out: $$ 9b - 9b = \cancel{9b} - \cancel{9b} = 0 $$ - The constants $4 + 4 = 8$ 5. **Write the simplified polynomial in standard form:** $$ 5b^3 + 8 $$ **Final answer:** $$ 5b^3 + 8 $$