Question

$$\left. \begin{array} { l } { p ^ { 2 } - 2 p - 3 p = } \\ { 4 , \quad b 3 , \quad \quad 0 , \quad - 1 , f - 2 } \end{array} \right.$$

Answer

$$l=((2*((2*a)/p+1))/e+3*w*h*n)/(Ev*a^2*u*t*p),(((3*b)/p+2)/e+3*w*h*n)/(Ev*a^2*u*t*p),((1/p+2)/e+3*w*h*n)/(Ev*a^2*u*t*p),(2/e+3*w*h*n)/(Ev*a^2*u*t*p),(((e-1)/p+2)/e+3*w*h*n)/(Ev*a^2*u*t*p),(((f-2)/p+2)/e+3*w*h*n)/(Ev*a^2*u*t*p)$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Ev{a}^{2}lute{p}^{2}-2p-3whenp=a\times 4,b\times 3,1,d\times 0,e-1,f-2\]
Regroup terms.
\[Eve{a}^{2}lut{p}^{2}-2p-3whenp=a\times 4,b\times 3,1,d\times 0,e-1,f-2\]
Regroup terms.
\[Eve{a}^{2}lut{p}^{2}-2p-3ewhnp=a\times 4,b\times 3,1,d\times 0,e-1,f-2\]
Regroup terms.
\[Eve{a}^{2}lut{p}^{2}-2p-3ewhnp=4a,b\times 3,1,d\times 0,e-1,f-2\]
Regroup terms.
\[Eve{a}^{2}lut{p}^{2}-2p-3ewhnp=4a,3b,1,d\times 0,e-1,f-2\]
Simplify  \(d\times 0\)  to  \(0\).
\[Eve{a}^{2}lut{p}^{2}-2p-3ewhnp=4a,3b,1,0,e-1,f-2\]
Factor out the common term \(p\).
\[p(Eve{a}^{2}lutp-2-3ewhn)=4a,3b,1,0,e-1,f-2\]
Break down the problem into these 6 equations.
\[p(Eve{a}^{2}lutp-2-3ewhn)=4a\]
\[p(Eve{a}^{2}lutp-2-3ewhn)=3b\]
\[p(Eve{a}^{2}lutp-2-3ewhn)=1\]
\[p(Eve{a}^{2}lutp-2-3ewhn)=0\]
\[p(Eve{a}^{2}lutp-2-3ewhn)=e-1\]
\[p(Eve{a}^{2}lutp-2-3ewhn)=f-2\]
Solve the 1st equation: \(p(Eve{a}^{2}lutp-2-3ewhn)=4a\).
\[l=\frac{\frac{2(\frac{2a}{p}+1)}{e}+3whn}{Ev{a}^{2}utp}\]
Solve the 2nd equation: \(p(Eve{a}^{2}lutp-2-3ewhn)=3b\).
\[l=\frac{\frac{\frac{3b}{p}+2}{e}+3whn}{Ev{a}^{2}utp}\]
Solve the 3rd equation: \(p(Eve{a}^{2}lutp-2-3ewhn)=1\).
\[l=\frac{\frac{\frac{1}{p}+2}{e}+3whn}{Ev{a}^{2}utp}\]
Solve the 4th equation: \(p(Eve{a}^{2}lutp-2-3ewhn)=0\).
\[l=\frac{\frac{2}{e}+3whn}{Ev{a}^{2}utp}\]
Solve the 5th equation: \(p(Eve{a}^{2}lutp-2-3ewhn)=e-1\).
\[l=\frac{\frac{\frac{e-1}{p}+2}{e}+3whn}{Ev{a}^{2}utp}\]
Solve the 6th equation: \(p(Eve{a}^{2}lutp-2-3ewhn)=f-2\).
\[l=\frac{\frac{\frac{f-2}{p}+2}{e}+3whn}{Ev{a}^{2}utp}\]
Collect all solutions.
\[l=\frac{\frac{2(\frac{2a}{p}+1)}{e}+3whn}{Ev{a}^{2}utp},\frac{\frac{\frac{3b}{p}+2}{e}+3whn}{Ev{a}^{2}utp},\frac{\frac{\frac{1}{p}+2}{e}+3whn}{Ev{a}^{2}utp},\frac{\frac{2}{e}+3whn}{Ev{a}^{2}utp},\frac{\frac{\frac{e-1}{p}+2}{e}+3whn}{Ev{a}^{2}utp},\frac{\frac{\frac{f-2}{p}+2}{e}+3whn}{Ev{a}^{2}utp}\]