Simplify to create an equivalent expression.
\[\qquad{2-4(5p+1)}\]
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[-20p-2\]
A
\[-20p-2\]
(Choice B)
\[-5p-4\]
B
\[-5p-4\]
(Choice C)
\[-20p+2\]
C
\[-20p+2\]
(Choice D)
\[-5p+4\]
D
\[-5p+4\]
To simplify the expression \[2-4(5p+1),\] we can start by applying the distributive property. The expression \[4(5p+1)\] means multiplying 4 by each term inside the parentheses. So we have: \[2-4(5p+1)=2-(4\cdot5p+4\cdot1).\] Simplifying further: \[2-(4\cdot5p+4)=2-(20p+4).\] To simplify inside the parentheses, we use the distributive property again: \[2-(20p+4)=2-20p-4.\] Finally, combining like terms, we get: \[2-20p-4=-20p-2.\]
Therefore, the simplified expression is \[-20p-2.\] So the answer is \textbf{(Choice A)} \[-20p-2.\]
To simplify the expression \[2-4(5p+1),\] we can start by distributing the $-4$ to the terms inside the parentheses. This gives us: \[2-20p-4.\]
Combining like terms, we have: \[-20p-2.\]
Therefore, the equivalent expression is \[-20p-2.\]
So, the correct answer is \textbf{(Choice A)} \[-20p-2.\]