Question

try: use the expression given. \\(2c^4d^3 - 10c^4d^3 - 12cd\\) step 1: the gcf is \\(\underline{\quad\quad}\\) step 2: use the gcf to factor completely.

Explanation:

Step1: Find GCF of coefficients and variables

For coefficients: GCF of 2, -10, -12 is 2.
For variables: GCF of \(c^4d^3\), \(c^4d^3\), \(cd\) is \(cd\) (take lowest exponents: \(c^1\), \(d^1\)).
So GCF is \(2cd\).

Step2: Factor out GCF

\(2c^4d^3 - 10c^4d^3 - 12cd = 2cd(c^3d^2 - 5c^3d^2 - 6)\)

Answer:

Step 1: \(2cd\)
Step 2: \(2cd(c^3d^2 - 5c^3d^2 - 6)\)