Question

Simplify: −4(2x+5)
(1 point)
Responses

(−4−2x)+(−4−5)
open paren negative 4 minus 2 x close paren plus open paren negative 4 minus 5 close paren

(−4+2x)×(−4+5)
open paren negative 4 plus 2 x close paren times open paren negative 4 plus 5 close paren

(−4×2x)+(−4×5)
open paren negative 4 times 2 x close paren plus open paren negative 4 times 5 close paren

(−4÷2x)+(−4÷5)

Answer 1

To simplify the expression \(-4(2x + 5)\), we need to distribute \(-4\) to both terms inside the parentheses.

Here’s the step-by-step process:
1. Multiply \(-4\) by \(2x\):
\(-4 \times 2x = -8x\)

2. Multiply \(-4\) by \(5\):
\(-4 \times 5 = -20\)

Now, combine the results:
\(-4(2x + 5) = -8x - 20\)

The correct response from your options is:
\[
(−4×2x)+(−4×5)
\]
which corresponds to \(-8x - 20\).