Subjects algebra

Expression Difference 5B7Fd8

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1. **Problem statement:** Find the difference between the two expressions: $$ (s + c + s^2) - (s - c - s^2) $$ 2. **Formula and rules:** To subtract two expressions, distribute the minus sign to each term in the second parentheses: $$ (a - b) = a + (-b) $$ 3. **Intermediate work:** $$ (s + c + s^2) - (s - c - s^2) = s + c + s^2 - s + c + s^2 $$ 4. **Simplify by combining like terms:** $$ (s - s) + (c + c) + (s^2 + s^2) = 0 + 2c + 2s^2 $$ 5. **Final answer:** $$ 2c + 2s^2 $$ This means the difference simplifies to twice the sum of $c$ and $s^2$.