factor out the greatest common factor : 45d^3-18d^2

Answer 1

To factor out the greatest common factor (GCF) from the expression \( 45d^3 - 18d^2 \), we start by finding the GCF of the coefficients and the common variable factor.

1. Coefficients: The GCF of 45 and 18 is 9.
2. Variable Factors: The lowest power of \( d \) in both terms is \( d^2 \).

Now we can factor the GCF out of the expression:

\[ 45d^3 - 18d^2 = 9d^2(5d - 2) \]

Thus, the factored form of the expression is:

\[ 9d^2(5d - 2) \]