Issolvi Y(s)/(x_{s)}=1/s(s+1)(s+2)

$$\frac { Y ( s ) } { ( x _ { s } ) } = \frac { 1 } { s ( s + 1 ) ( s + 2 ) }$$

Solvi għal Y

$$Y=\frac{x_{s}}{\left(s+1\right)\left(s+2\right)s^{2}}$$

$$x_{s}\neq 0\text{ and }s\neq 0\text{ and }s\neq -1\text{ and }s\neq -2$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'sx_{s}\left(s+1\right)\left(s+2\right), l-inqas denominatur komuni ta' x_{s},s\left(s+1\right)\left(s+2\right).

$$s\left(s+1\right)\left(s+2\right)Ys=x_{s}$$

Uża l-propjetà distributtiva biex timmultiplika s b's+1.

$$\left(s^{2}+s\right)\left(s+2\right)Ys=x_{s}$$

Uża l-propjetà distributtiva biex timmultiplika s^{2}+s b's+2 u kkombina termini simili.

$$\left(s^{3}+3s^{2}+2s\right)Ys=x_{s}$$

Uża l-propjetà distributtiva biex timmultiplika s^{3}+3s^{2}+2s b'Y.

$$\left(s^{3}Y+3s^{2}Y+2sY\right)s=x_{s}$$

Uża l-propjetà distributtiva biex timmultiplika s^{3}Y+3s^{2}Y+2sY b's.

$$Ys^{4}+3Ys^{3}+2Ys^{2}=x_{s}$$

Ikkombina t-termini kollha li fihom Y.

$$\left(s^{4}+3s^{3}+2s^{2}\right)Y=x_{s}$$

Iddividi ż-żewġ naħat b's^{4}+3s^{3}+2s^{2}.

$$\frac{\left(s^{4}+3s^{3}+2s^{2}\right)Y}{s^{4}+3s^{3}+2s^{2}}=\frac{x_{s}}{s^{4}+3s^{3}+2s^{2}}$$

Meta tiddividi b's^{4}+3s^{3}+2s^{2} titneħħa l-multiplikazzjoni b's^{4}+3s^{3}+2s^{2}.

$$Y=\frac{x_{s}}{s^{4}+3s^{3}+2s^{2}}$$

Iddividi x_{s} b's^{4}+3s^{3}+2s^{2}.

$$Y=\frac{x_{s}}{\left(s+1\right)\left(s+2\right)s^{2}}$$