Simplify:   (7−1+70)−(2−1+20)(7−1+70)−(2−1+20)


 −514−514




 1919




 −14−14




 1717




 114114




 *None of the above*

Let's simplify the expression step by step.

The given expression is:

\[
(7 - 1 + 70) - (2 - 1 + 20)(7 - 1 + 70) - (2 - 1 + 20)
\]

1. First, simplify the expressions inside the parentheses:
   \[
   7 - 1 + 70 = 6 + 70 = 76
   \]
   \[
   2 - 1 + 20 = 1 + 20 = 21
   \]

2. Substitute these values back into the expression:
   \[
   76 - 21 \times 76 - 21
   \]

3. Now, apply the multiplication:
   \[
   21 \times 76 = 1596
   \]

4. Substitute and simplify:
   \[
   76 - 1596 - 21
   \]

5. Simplify further:
   \[
   76 - 1596 = -1520
   \]
   \[
   -1520 - 21 = -1541
   \]

The simplified result is \(-1541\). Since this value is not in the given options, the correct answer is:

**None of the above**.

Would you like to go over any details or have any questions?

Here are some related questions you might consider:

1. How do you simplify expressions with multiple parentheses?
2. What are common mistakes when simplifying expressions?
3. How does order of operations affect the result of an expression?
4. How can you verify your result after simplifying an expression?
5. What strategies can help simplify complex expressions faster?

**Tip:** Always double-check your operations, especially with subtraction and multiplication, to avoid errors.

Learn how to simplify the expression (7 - 1 + 70) - (2 - 1 + 20) step-by-step with a detailed solution. This problem involves arithmetic operations with parentheses and subtraction, suitable for high school students.

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