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Find the indicated function ff of a singlevariable.

f(x)=N(x,2x)f(x)=N(x,2x) for N(x,y)=3xy+x2y2+1N(x,y)=3xy+x^{2}-y^{2}+1

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Indicated function f(x)=N(x,2x)f(x)=N(x,2x) of a single variable for N(x,y)=3xy+x2y2+1N(x,y)=3xy+x^2-y^2+1 is:

N(x,2x)=3x2x+x2(2x)2+1=6x2+x24x2+1=3x2+1\begin{aligned} N(x,2x)=&3x\cdot2x+x^2-(2x)^2+1\\ =&6x^2+x^2-4x^2+1\\ =&3x^2+1\\ \end{aligned}

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