Final answer:
To subtract x⁶y² from the product of -x³y² and 2x³, first simplify the product by multiplying the coefficients and adding the exponents of the variables. Next, subtract x⁶y² from the simplified product by subtracting the coefficients and keeping the same variables with their respective exponents.
Step-by-step explanation:
To subtract the expression x⁶y² from the product of -x³y² and 2x³, we first simplify the product by multiplying the coefficients and adding the exponents of the variables. The product of -x³y² and 2x³ is -2x⁶y⁴.
Now, we can subtract x⁶y² from -2x⁶y⁴. To do this, we subtract the coefficients and keep the same variables with their respective exponents. So the final answer is -2x⁶y⁴ - x⁶y².