Simplify: −4(2x+5)

Question

(1 point)
Responses

(−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)
open paren negative 4 divided by 2 x close paren plus open paren negative 4 divided by 5 close paren

(−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)

Answer 1

To simplify the expression \( -4(2x + 5) \), we should use the distributive property. This means we will multiply \(-4\) by each term inside the parentheses.

So we have:

\[ -4(2x + 5) = -4 \cdot 2x + (-4) \cdot 5 \]

Calculating each term gives:

\[ -4 \cdot 2x = -8x \] \[ -4 \cdot 5 = -20 \]

Putting it all together, we get:

\[ -8x - 20 \]

Thus, the simplified expression is \( -8x - 20 \).

None of the provided options correspond to this correct answer, so it seems there might have been an oversight in the responses given.