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If (n=26q+25), what is the remainder when (n^2+2n+1) is divided by 26?यदि (n=26q+25), तो (n^2+2n+1) को 26 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 the remainder of (n) is 25, the remainder of (n+1) is 0. Step 3: When (n+1) is divisible by 26, its square is also divisible by 26.चरण 1: (n^2+2n+1=(n+1)^2) है। चरण 2: (n) का शेषफल 25 है, इसलिए (n+1) का शेषफल 0 होगा। चरण 3: जब (n+1) 26 से विभाज्य है, तो उसका वर्ग भी 26 से विभाज्य होगा।
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