Verified by Ajay Kumar
Simplify: 7² + 2 × 7 × 3 + 3²
100
121
64
169
Answer: A
Solution
Solution: Use the identity \(a^2+2ab+b^2=(a+b)^2\). Therefore, \(7^2+2\times7\times3+3^2=(7+3)^2=10^2=100\). Trick: Recognize the perfect-square identity to avoid lengthy multiplication.
सरल कीजिए: 7² + 2 × 7 × 3 + 3²
100
121
64
169
उत्तर: A
हल
हल: सर्वसमिका \(a^2+2ab+b^2=(a+b)^2\) का प्रयोग करें। इसलिए \(7^2+2\times7\times3+3^2=(7+3)^2=10^2=100\)। ट्रिक: लंबी गणना से बचने के लिए पूर्ण वर्ग वाली सर्वसमिका पहचानें।
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