Question
Write the equivalent expression written as a common factor multiplied by the sum of two algebraic expression.
12v^2 − 32v
12v^2 − 32v
Answers
GPT-4o mini
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:
\[
4v(3v - 8)
\]
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:
\[
4v(3v - 8)
\]