Write the equivalent expression written as a common factor multiplied by the sum of two algebraic expression.

Question

12v^2 − 32v

Answer 1

To factor the expression \( 12v^2 - 32v \), we first look for the greatest common factor (GCF) of the two terms.

1. The GCF of the coefficients \( 12 \) and \( -32 \) is \( 4 \).
2. Both terms contain \( v \) as a common factor.

Thus, we can factor out \( 4v \):

\[ 12v^2 - 32v = 4v(3v - 8) \]

So the equivalent expression written as a common factor multiplied by the sum of two algebraic expressions is:

\[ 4v(3v - 8) \]