Simplify: −4(2x+5)

Question

A). (−4−2x)+(−4−5)

B). (−4×2x)+(−4×5)

C). (−4 ÷ 2x)+(−4 ÷ 5)

D). (−4 + 2x)×(−4 + 5)

Answer 1

To simplify the expression \(-4(2x + 5)\), we can use the distributive property:

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

This simplifies to:

\[ -8x - 20 \]

Now, let's examine the options provided:

A) \((−4−2x)+(−4−5)\) — This does not match our simplification.

B) \((−4×2x)+(−4×5)\) — This is correct because it represents the application of the distributive property as we defined.

C) \((−4 ÷ 2x)+(−4 ÷ 5)\) — This does not match our simplification at all.

D) \((−4 + 2x)×(−4 + 5)\) — This does not match our simplification.

The correct answer is:

B). \((−4×2x)+(−4×5)\)

Answer 2

Thank you! *hugs*

Answer 3

You're welcome! hugs back If you have any more questions or need further assistance, feel free to ask! 😊