Simplify: −4(2x+5) (1 point)

Question

Responses

(−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)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 \(-4(2x + 5)\), we apply the distributive property, which states that you can distribute the multiplication across the terms inside the parentheses.

Here's how it works:

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

Calculating each term:

1. \(-4 \cdot 2x = -8x\)
2. \(-4 \cdot 5 = -20\)

So, putting it all together:

\[ -4(2x + 5) = -8x - 20 \]

The correct response for your question is:

(−4×2x)+(−4×5) (which corresponds to the step before simplification). The final simplified form is \(-8x - 20\), but that option wasn't provided in your choices.