Question
Which is the complete factorization of this expression? −20x−5y
(1 point)
Responses
4(5x−y)
4 times open paren 5 x minus y close paren
5(4x+y)
5 times open paren 4 x plus y close paren
−5(4x+y)
negative 5 times open paren 4 x plus y close paren
−5(4x−y)
(1 point)
Responses
4(5x−y)
4 times open paren 5 x minus y close paren
5(4x+y)
5 times open paren 4 x plus y close paren
−5(4x+y)
negative 5 times open paren 4 x plus y close paren
−5(4x−y)
Answers
GPT-4o mini
To factor the expression \(-20x - 5y\), we start by identifying the greatest common factor (GCF) of the terms:
1. The coefficients are \(-20\) and \(-5\). The GCF of \(-20\) and \(-5\) is \(-5\).
2. Next, we factor out \(-5\) from the expression:
\[
-20x - 5y = -5(4x + y)
\]
Thus, the correct factorization is:
\(-5(4x + y)\)
Therefore, among the provided options, the most appropriate choice is:
**−5(4x+y)**.
(Note: the correct options provided previously should include \(-5(4x + y)\) instead of \(-5(4x - y)\)).
1. The coefficients are \(-20\) and \(-5\). The GCF of \(-20\) and \(-5\) is \(-5\).
2. Next, we factor out \(-5\) from the expression:
\[
-20x - 5y = -5(4x + y)
\]
Thus, the correct factorization is:
\(-5(4x + y)\)
Therefore, among the provided options, the most appropriate choice is:
**−5(4x+y)**.
(Note: the correct options provided previously should include \(-5(4x + y)\) instead of \(-5(4x - y)\)).