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If (f(x)=\frac{x+2}{x}) and (g(x)=\frac{x-2}{x}), what is ((f^2-g^2)(x))?यदि (f(x)=\frac{x+2}{x}) और (g(x)=\frac{x-2}{x}) हैं, तो ((f^2-g^2)(x)) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \frac{8}{x} )( \frac{8}{x} )
Here (f-g=\frac{4}{x}) and (f+g=2), so (f^2-g^2=\frac{8}{x}). The identity (a^2-b^2=(a-b)(a+b)) is very useful.(f-g=\frac{4}{x}) और (f+g=2), इसलिए (f^2-g^2=\frac{8}{x})। पहचान (a^2-b^2=(a-b)(a+b)) बहुत उपयोगी है।
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