Simplify \(2\times \frac{{x}^{n}-{2}^{n}}{x-2}\) to \(\frac{2({x}^{n}-{2}^{n})}{x-2}\).
\[l\imath mx->\frac{2({x}^{n}-{2}^{n})}{x-2}\]
Regroup terms.
\[-+l\imath mx>\frac{2({x}^{n}-{2}^{n})}{x-2}\]
Divide both sides by \(\imath \).
\[-+lmx>\frac{\frac{2({x}^{n}-{2}^{n})}{x-2}}{\imath }\]
Simplify \(\frac{\frac{2({x}^{n}-{2}^{n})}{x-2}}{\imath }\) to \(\frac{2({x}^{n}-{2}^{n})}{\imath (x-2)}\).
\[-+lmx>\frac{2({x}^{n}-{2}^{n})}{\imath (x-2)}\]
Divide both sides by \(m\).
\[-+lx>\frac{\frac{2({x}^{n}-{2}^{n})}{\imath (x-2)}}{m}\]
Simplify \(\frac{\frac{2({x}^{n}-{2}^{n})}{\imath (x-2)}}{m}\) to \(\frac{2({x}^{n}-{2}^{n})}{\imath m(x-2)}\).
\[-+lx>\frac{2({x}^{n}-{2}^{n})}{\imath m(x-2)}\]
Divide both sides by \(x\).
\[-+l>\frac{\frac{2({x}^{n}-{2}^{n})}{\imath m(x-2)}}{x}\]
Simplify \(\frac{\frac{2({x}^{n}-{2}^{n})}{\imath m(x-2)}}{x}\) to \(\frac{2({x}^{n}-{2}^{n})}{\imath mx(x-2)}\).
\[-+l>\frac{2({x}^{n}-{2}^{n})}{\imath mx(x-2)}\]
Multiply both sides by \(-1\).
\[l<-\frac{2({x}^{n}-{2}^{n})}{\imath mx(x-2)}\]
l<-(2*(x^n-2^n))/(IM*m*x*(x-2))
