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If the identity element is (0) for (a*b=a+b+2ab), what is the inverse of (1)?यदि (a*b=a+b+2ab) में तत्समक अवयव (0) है, तो (1) का प्रतिलोम क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-\frac{1}{3})(-\frac{1}{3})
Step 1: For inverse (x), we need (1*x=0). Step 2: (1+x+2x=0) gives (3x=-1), so (x=-\frac{1}{3}). Step 3: Combine like terms and solve the equation carefully.चरण 1: प्रतिलोम (x) के लिए (1*x=0) चाहिए। चरण 2: (1+x+2x=0) से (3x=-1) और (x=-\frac{1}{3})। चरण 3: समान चर वाले पदों को जोड़कर समीकरण हल करें।
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