WILL GIVE BRAINLIEST
How do I factor 96d^2-150

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)