Which is the complete factorization of this expression? −20x−5y

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)

GPT-4o mini · Answer

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 $-5(4x - y)$).