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What is the value of (14^2-10^2)?(14^2-10^2) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 9696
First calculate the two squares: 14^2 = 196 and 10^2 = 100. Therefore, 14^2 - 10^2 = 196 - 100 = 96. This can also be verified using the difference-of-squares identity: a^2 - b^2 = (a-b)(a+b) = (14-10)(14+10) = 4 × 24 = 96. Exam tip: Use the difference-of-squares identity to simplify such expressions quickly.पहले दोनों वर्ग निकालें: 14^2 = 196 और 10^2 = 100। अतः 14^2 - 10^2 = 196 - 100 = 96। इसे अंतर के वर्गों के सूत्र से भी जाँचा जा सकता है: a^2 - b^2 = (a-b)(a+b) = (14-10)(14+10) = 4 × 24 = 96। परीक्षा-युक्ति: बड़े वर्गों की गणना से बचने के लिए अंतर के वर्गों का सूत्र उपयोग करें।
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