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If (f(x)=\frac{2x}{x^2-4}) and (g(x)=\frac{1}{x-2}), what is the simplified form of ((f-g)(x))?यदि (f(x)=\frac{2x}{x^2-4}) और (g(x)=\frac{1}{x-2}) हैं, तो ((f-g)(x)) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{2}{(x-2)(x+2)})(\frac{2}{(x-2)(x+2)})
With common denominator ((x-2)(x+2)), numerator is (2x-(x+2)=x-2), so the form is (\frac{1}{x+2}) with (x\ne\pm2). Thus option (C) is the simplification.समान हर ((x-2)(x+2)) लेने पर अंश (2x-(x+2)=x-2) होगा, इसलिए (\frac{1}{x+2}) पर (x\ne\pm2)। सही सरलीकरण विकल्प (C) है।
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