1. **Problem A:** Perform the subtraction $(x^2 - 3x + 7) - (4 + 5x^2 - x)$. 2. Write the expression clearly: $$ (x^2 - 3x + 7) - (4 + 5x^2 - x) $$ 3. Distribute the minus sign to the second polynomial: $$ x^2 - 3x + 7 - 4 - 5x^2 + x $$ 4. Combine like terms: - Combine $x^2$ terms: $x^2 - 5x^2 = \cancel{1}x^2 - \cancel{5}x^2 = -4x^2$ - Combine $x$ terms: $-3x + x = -2x$ - Combine constants: $7 - 4 = 3$ 5. Final simplified expression: $$ -4x^2 - 2x + 3 $$ --- **Answer for A:** $-4x^2 - 2x + 3$