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Algebra Difficulty 1.8 Junior Find the answer

What is 100(100−3)−(100⋅100−3)100(100-3)-(100\cdot100-3)?
(A) −20,000\textbf{(A)}\ -20,000(B) −10,000\textbf{(B)}\ -10,000(C) −297\textbf{(C)}\ -297(D) −6\textbf{(D)}\ -6(E) 0\textbf{(E)}\ 0

Multiple choice: answer with the letter of the option you want.

Solution

100(100−3)−(100⋅100−3)=10000−300−10000+3=−300+3=(C) −297100(100-3)-(100\cdot{100}-3)=10000-300-10000+3=-300+3=\boxed{\textbf{(C)}\ -297}.

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.