Factor \({x}^{2}-3x+2\).
Ask: Which two numbers add up to \(-3\) and multiply to \(2\)?
Rewrite the expression using the above.
\[(x-2)(x-1)\]
\[l\imath mx->2\times \frac{x-2}{(x-2)(x-1)}\]
Cancel \(x-2\).
\[l\imath mx->2\times \frac{1}{x-1}\]
Simplify \(2\times \frac{1}{x-1}\) to \(\frac{2}{x-1}\).
\[l\imath mx->\frac{2}{x-1}\]
Regroup terms.
\[-+l\imath mx>\frac{2}{x-1}\]
Divide both sides by \(\imath \).
\[-+lmx>\frac{\frac{2}{x-1}}{\imath }\]
Simplify \(\frac{\frac{2}{x-1}}{\imath }\) to \(\frac{2}{\imath (x-1)}\).
\[-+lmx>\frac{2}{\imath (x-1)}\]
Divide both sides by \(m\).
\[-+lx>\frac{\frac{2}{\imath (x-1)}}{m}\]
Simplify \(\frac{\frac{2}{\imath (x-1)}}{m}\) to \(\frac{2}{\imath m(x-1)}\).
\[-+lx>\frac{2}{\imath m(x-1)}\]
Divide both sides by \(x\).
\[-+l>\frac{\frac{2}{\imath m(x-1)}}{x}\]
Simplify \(\frac{\frac{2}{\imath m(x-1)}}{x}\) to \(\frac{2}{\imath mx(x-1)}\).
\[-+l>\frac{2}{\imath mx(x-1)}\]
Multiply both sides by \(-1\).
\[l<-\frac{2}{\imath mx(x-1)}\]
l<-2/(IM*m*x*(x-1))
