factor the linear expression 50x - 30 using the greatest common factor of the terms.

1 answer

To factor the linear expression \( 50x - 30 \) using the greatest common factor (GCF), we first need to identify the GCF of the coefficients (50 and -30).

The GCF of 50 and 30 is 10.

Now, we can factor out the GCF from the expression:

\[ 50x - 30 = 10(5x - 3) \]

So, the factored form of the expression \( 50x - 30 \) is:

\[ 10(5x - 3) \]