1. **Stating the problem:** Simplify the expression $x^{4}y^{2} - 3x^{3}y^{25}$. 2. **Formula and rules:** When simplifying expressions with variables and exponents, remember: - You can only combine like terms (same base and exponent). - For multiplication, add exponents of the same base. - For subtraction, terms must be like terms to combine. 3. **Intermediate work:** - The terms are $x^{4}y^{2}$ and $3x^{3}y^{25}$. - These are not like terms because the exponents of $y$ differ ($2$ vs $25$). - Therefore, the expression cannot be combined further. 4. **Answer:** The simplified form remains $x^{4}y^{2} - 3x^{3}y^{25}$. --- Since the user asked multiple questions but per instructions only the first is solved, the q_count is total number of distinct problems found in the message. "slug": "simplify expression", "subject": "algebra", "desmos": {"latex": "y=x^{4}y^{2} - 3x^{3}y^{25}", "features": {"intercepts": true, "extrema": true}}, "q_count": 38