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If (n=10q+9), what is the remainder when (n^2+2n+1) is divided by 10?यदि (n=10q+9), तो (n^2+2n+1) को 10 से भाग देने पर शेषफल क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 00
Step 1: (n^2+2n+1=(n+1)^2). Step 2: Since (n) has remainder 9, (n+1) has remainder 0, so its square is divisible by 10. Step 3: First recognize the structure of the expression to reduce calculation.चरण 1: (n^2+2n+1=(n+1)^2) है। चरण 2: (n) का शेषफल 9 है, इसलिए (n+1) का शेषफल 0 होगा और उसका वर्ग भी 10 से विभाज्य होगा। चरण 3: पहले व्यंजक की बनावट पहचानें, इससे गणना कम होती है।
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