To solve this problem, we need to simplify the algebraic expression by combining like terms.
Step 1: Identify Like Terms
Look at the two parts of the expression: $2X^3Y^2$ and $7X^3Y^2$.
Both terms have the exact same variables with the exact same exponents ($X^3$ and $Y^2$). This means they are "like terms" and can be combined directly.
Step 2: Combine the Coefficients
Since the variable parts are identical, we just need to add the numbers (coefficients) in front of them.
The coefficients are $2$ and $7$.
$$2 + 7 = 9$$
Step 3: Write the Final Expression
Keep the variable part ($X^3Y^2$) exactly as it is and attach the new coefficient we calculated.
$$9X^3Y^2$$
Final Answer:
9X³Y²
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting monomials worksheet.
