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2.33xx2.33+0.33xx0.33-0.66xx2.33 is equa...

`2.33xx2.33+0.33xx0.33-0.66xx2.33` is equal to:

A

2.66

B

0.4

C

4

D

2

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \(2.33 \times 2.33 + 0.33 \times 0.33 - 0.66 \times 2.33\), we can use the algebraic identity for the square of a binomial. ### Step-by-Step Solution: 1. **Identify the terms**: - Let \(a = 2.33\) and \(b = 0.33\). - Rewrite the expression: \[ a^2 + b^2 - 2ab \] 2. **Recognize the formula**: - The expression \(a^2 + b^2 - 2ab\) can be rewritten using the identity: \[ (a - b)^2 \] 3. **Substitute the values**: - Substitute \(a\) and \(b\) into the identity: \[ (2.33 - 0.33)^2 \] 4. **Calculate \(2.33 - 0.33\)**: - Perform the subtraction: \[ 2.33 - 0.33 = 2.00 \] 5. **Square the result**: - Now calculate the square: \[ (2.00)^2 = 4.00 \] 6. **Final answer**: - Therefore, the value of the original expression is: \[ 4 \] ### Conclusion: The final answer is \(4\).
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