Question
Factor.
14 y squared plus 70 y
Question content area bottom
Part 1
14 y squared plus 70 yequals
enter your response here
14 y squared plus 70 y
Question content area bottom
Part 1
14 y squared plus 70 yequals
enter your response here
Answers
GPT-4o mini
To factor the expression \( 14y^2 + 70y \), we first look for the greatest common factor (GCF) of the coefficients and the variable terms.
1. **Identify the GCF**:
- The coefficients are \( 14 \) and \( 70 \). The GCF of \( 14 \) and \( 70 \) is \( 14 \).
- The variable part in both terms is \( y \), and the lowest power of \( y \) in both terms is \( y^1 \) (or \( y \)).
2. **Factor out the GCF**:
\[
14y^2 + 70y = 14y(y + 5)
\]
Here, we factored out \( 14y \) from both terms.
So, the factored form of the expression \( 14y^2 + 70y \) is:
\[
\boxed{14y(y + 5)}
\]
1. **Identify the GCF**:
- The coefficients are \( 14 \) and \( 70 \). The GCF of \( 14 \) and \( 70 \) is \( 14 \).
- The variable part in both terms is \( y \), and the lowest power of \( y \) in both terms is \( y^1 \) (or \( y \)).
2. **Factor out the GCF**:
\[
14y^2 + 70y = 14y(y + 5)
\]
Here, we factored out \( 14y \) from both terms.
So, the factored form of the expression \( 14y^2 + 70y \) is:
\[
\boxed{14y(y + 5)}
\]