1. **State the problem:** We need to subtract the polynomial $(5x^2 - 7x - 14)$ from $(9x^2 - 7x + 13)$. 2. **Write the expression:** $$ (9x^2 - 7x + 13) - (5x^2 - 7x - 14) $$ 3. **Distribute the minus sign to the second polynomial:** $$ 9x^2 - 7x + 13 - 5x^2 + 7x + 14 $$ 4. **Combine like terms:** - Combine the $x^2$ terms: $9x^2 - 5x^2 = 4x^2$ - Combine the $x$ terms: $-7x + 7x = 0$ - Combine the constants: $13 + 14 = 27$ 5. **Write the simplified polynomial:** $$ 4x^2 + 27 $$ **Final answer:** $4x^2 + 27$