Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[l\imath mx->\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{{x}^{2}}\]
Regroup terms.
\[-+l\imath mx>\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{{x}^{2}}\]
Divide both sides by \(\imath \).
\[-+lmx>\frac{\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{{x}^{2}}}{\imath }\]
Simplify \(\frac{\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{{x}^{2}}}{\imath }\) to \(\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{\imath {x}^{2}}\).
\[-+lmx>\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{\imath {x}^{2}}\]
Divide both sides by \(m\).
\[-+lx>\frac{\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{\imath {x}^{2}}}{m}\]
Simplify \(\frac{\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{\imath {x}^{2}}}{m}\) to \(\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{\imath {x}^{2}m}\).
\[-+lx>\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{\imath {x}^{2}m}\]
Divide both sides by \(x\).
\[-+l>\frac{\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{\imath {x}^{2}m}}{x}\]
Simplify \(\frac{\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{\imath {x}^{2}m}}{x}\) to \(\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{\imath {x}^{2}mx}\).
\[-+l>\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{\imath {x}^{2}mx}\]
Regroup terms.
\[-+l>\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{{x}^{2}xm\imath }\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[-+l>\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{{x}^{2+1}m\imath }\]
Simplify \(2+1\) to \(3\).
\[-+l>\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{{x}^{3}m\imath }\]
Regroup terms.
\[-+l>\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{\imath {x}^{3}m}\]
Multiply both sides by \(-1\).
\[l<-\frac{c(\sqrt{{x}^{4}+1}-2{x}^{2}-1)}{\imath {x}^{3}m}\]
l<-(c*(sqrt(x^4+1)-2*x^2-1))/(IM*x^3*m)
