Final answer:
The greatest common factor (GCF) of 64d⁴-32d² is 32d².
Step-by-step explanation:
The given expression is 64d⁴-32d².
To find the greatest common factor (GCF) of these terms, we need to factor out the common factors in each term.
We can see that both terms have a factor of 32d².
Factoring out 32d² from the expression, we get:
64d⁴-32d² = 32d²(2d²-1)
So, the greatest common factor (GCF) of 64d⁴-32d² is 32d²