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)

Answer 1

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