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If the identity element is (0) for (a*b=a+b+ab), what is the inverse of (2)?यदि (a*b=a+b+ab) में तत्समक अवयव (0) है, तो (2) का प्रतिलोम क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-\frac{2}{3})(-\frac{2}{3})
Step 1: For inverse (x), (2*x=0) must hold. Step 2: (2+x+2x=0) gives (3x=-2), so (x=-\frac{2}{3}). Step 3: Bring all terms to one side and solve a simple equation.चरण 1: प्रतिलोम (x) के लिए (2*x=0) होना चाहिए। चरण 2: (2+x+2x=0) से (3x=-2) और (x=-\frac{2}{3})। चरण 3: प्रतिलोम में सभी पदों को एक तरफ लाकर सरल समीकरण बनाएं।
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