question: factor (using the GCF) 18D^3+45D^6

answer:would it be 9D^2(2+5D^4)?

no, try expanding your answer, you will not get the original.

should be

9D^3(2 + 5D^3)

well it says:

A 9D(2D+5D^5)
B 6D^2(3+9D^4)
C 3D^2(6+15D^4)
D 9D^2(2+5D^4)

And none of those answers , when expanded , will give you the original question the way you typed it.

So what do you think????

i thought the answer was D

1. Did you expand D ?

2. Did you check the typing of your original question?

oh sorry it is 18D^2+45D^6 not 18D^3

To factor the expression 18D^3 + 45D^6 using the greatest common factor (GCF), follow these steps:

Step 1: Identify the GCF of the terms.
In this case, the GCF of 18D^3 and 45D^6 is 9D^3. This is because both terms share a common factor of 9D^3.

Step 2: Divide each term by the GCF.
Dividing 18D^3 by 9D^3 gives you 2, and dividing 45D^6 by 9D^3 gives you 5D^3.

Step 3: Write the factored form using the GCF.
The factored form using the GCF is: 9D^3(2 + 5D^3). Note that the GCF is placed outside the parentheses, while the result of the division (2 + 5D^3) is placed inside the parentheses.

Therefore, the correct factored form of 18D^3 + 45D^6 using the GCF is 9D^3(2 + 5D^3).