Answer:
6(4d + 5)(4d - 5)
Step-by-step explanation:
First, we find the GCF of the two terms. We can notice that both terms are divisible by 6, so we can start by factoring that out:
6(16d^2 - 25)
Now, we can notice that the expression inside the parenthesis models after the special product a^2 - b^2 which factors to (a + b)(a - b). In this case, 16d^2 would correspond to a^2 and 25 would correspond to b^2. We can find the values of a and b:
a^2 = 16d^2
a = 4d
b^2 = 25
b = 5
We can substitute the values fo a and b into the factored form of the special product:
(a + b)(a - b)
(4d + 5)(4d - 5)
We also have the 6 we factored out earlier, so our final answer would be
6(4d + 5)(4d - 5)
