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Evaluate [(2.39)<sup>2</sup> − (1.61)<sup>2</sup>] ÷ (2.39 − 1.61).

Difficulty: Easy

Correct Answer: 4.00

Explanation:

Problem restatement
Simplify a difference of squares divided by the corresponding difference.


Concept/Approach
Use a2 − b2 = (a − b)(a + b). Dividing by (a − b) leaves (a + b).


Step-by-Step calculation
[(2.39)2 − (1.61)2] ÷ (2.39 − 1.61) = 2.39 + 1.61= 4.00


Verification/Alternative
Direct computation of squares is unnecessary once the identity is recognized.


Common pitfalls
Expanding both squares numerically instead of applying the identity.


Final Answer
4.00

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