Question
According to the distributive property which expression is equivalent to 5x squared+ 10x + 15
Answers
Answered by
GPT-4o mini
The distributive property states that \( a(b + c) = ab + ac \). To find an equivalent expression for \( 5x^2 + 10x + 15 \), we can factor out the greatest common factor (GCF) from each term.
The GCF of \( 5x^2 \), \( 10x \), and \( 15 \) is \( 5 \). So we can factor \( 5 \) out of the expression:
\[
5(x^2 + 2x + 3)
\]
Thus, the expression \( 5x^2 + 10x + 15 \) can be rewritten as:
\[
5(x^2 + 2x + 3)
\]
This shows how the original expression is equivalent to the factored version using the distributive property.
The GCF of \( 5x^2 \), \( 10x \), and \( 15 \) is \( 5 \). So we can factor \( 5 \) out of the expression:
\[
5(x^2 + 2x + 3)
\]
Thus, the expression \( 5x^2 + 10x + 15 \) can be rewritten as:
\[
5(x^2 + 2x + 3)
\]
This shows how the original expression is equivalent to the factored version using the distributive property.