(−4÷2x)+(−4÷5)
(−4×2x)+(−4×5)
(−4+2x)×(−4+5)
(−4−2x)+(−4−5)
9 answers
To simplify the expression \(-4(2x + 5)\), we can distribute \(-4\) to both terms inside the parentheses:
\[ -4(2x + 5) = -4 \times 2x + (-4) \times 5 \]
Calculating each term, we get:
\[ -4 \times 2x = -8x \] \[ -4 \times 5 = -20 \]
Putting it all together:
\[ -4(2x + 5) = -8x - 20 \]
Thus, the simplified expression is:
\[ \boxed{-8x - 20} \]
It seems like your response is indicating that there are multiple-choice options (A, B, C, or D) related to the simplification of the expression \(-4(2x + 5)\).
However, I don't have the specific options listed out to determine which one might be correct. If you provide the options, I can help you identify which one matches the simplified result of \(-8x - 20\).
To simplify the expression \(-4 (2x + 5)\), we distribute \(-4\) to both terms inside the parentheses:
Distribute \(-4\): \[ -4 \times 2x + (-4) \times 5 \]
Calculate each multiplication: \[ -4 \times 2x = -8x \] \[ -4 \times 5 = -20 \]
Combine the results: \[ -8x - 20 \]
Therefore, the simplified expression is:
\[ \boxed{-8x - 20} \]
To find which option corresponds to the simplification of \(-4(2x + 5)\), let's review each of the options:
A. \((−4÷2x)+(−4÷5)\)
This option does not represent the distribution of \(-4\) and is not equivalent to \(-4(2x + 5)\).
B. \((−4×2x)+(−4×5)\)
This option correctly represents the distribution of \(-4\) across both terms, which gives:
\[ (-4) \times 2x + (-4) \times 5 = -8x - 20 \]
This option is equivalent to the simplified form of \(-4(2x + 5)\).
C. \((−4+2x)×(−4+5)\)
This option represents a multiplication of two binomials and is not a correct representation of the distribution.
D. \((−4−2x)+(−4−5)\)
This option also does not represent the distribution of \(-4(2x + 5)\).
Thus, the correct answer is:
B. \((−4×2x)+(−4×5)\)
Yes, I’m sure. Let's clarify the reasoning step by step regarding the original expression \(-4(2x + 5)\) and the given options.
The expression \(-4(2x + 5)\) can be simplified by distributing \(-4\) to each term inside the parentheses, resulting in:
\[ -4 \times 2x + (-4) \times 5 = -8x - 20. \]
Now, let's analyze each option:
A. (−4÷2x)+(−4÷5)
This option involves division and does not represent distribution. It would yield \(-2 + -0.8\), which is not correct.
B. (−4×2x)+(−4×5)
This option correctly represents the distributed form:
\[
(-4 \times 2x) + (-4 \times 5) = -8x - 20.
\]
This is indeed the same as \(-4(2x + 5)\).
C. (−4+2x)×(−4+5)
This option represents a product of two binomials, which is not equivalent to distributing \(-4\) and leads to a different expression entirely.
D. (−4−2x)+(−4−5)
This option does not make sense in terms of distribution and does not lead to the correct simplified form.
So, the only correct option that simplifies to \(-8x - 20\) is indeed:
B. (−4×2x)+(−4×5)
If there are any further details you'd like to clarify or explore, feel free to ask!
