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On (\mathbb{R}), (a*b=a+b-2ab). What is the inverse of (2)?(\mathbb{R}) पर (a*b=a+b-2ab) है। (2) का प्रतिलोम क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{2}{3})(\frac{2}{3})
Step 1: The identity is (0). Step 2: Put (2*b=0): (2+b-4b=0), so (2-3b=0). Step 3: Thus (b=\frac{2}{3}); solve the inverse equation carefully.चरण 1: तत्समक अवयव (0) है। चरण 2: (2*b=0) रखें, (2+b-4b=0), इसलिए (2-3b=0)। चरण 3: (b=\frac{2}{3}); प्रतिलोम समीकरण को सावधानी से हल करें।
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