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
Discussion & Comments