Løs 3/6y(y+8)+y-5/y^2(y-3) | Microsoft Math Solver

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Lignende problemer fra nettsøk

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\frac{3y\left(y-3\right)}{6\left(y-3\right)\left(y+8\right)y^{2}}+\frac{\left(y-5\right)\times 6\left(y+8\right)}{6\left(y-3\right)\left(y+8\right)y^{2}}

Hvis du vil legge til eller trekke fra uttrykk, kan du utvide dem for å gjøre nevnerne like. Minste felles multiplum av 6y\left(y+8\right) og y^{2}\left(y-3\right) er 6\left(y-3\right)\left(y+8\right)y^{2}. Multipliser \frac{3}{6y\left(y+8\right)} ganger \frac{y\left(y-3\right)}{y\left(y-3\right)}. Multipliser \frac{y-5}{y^{2}\left(y-3\right)} ganger \frac{6\left(y+8\right)}{6\left(y+8\right)}.

\frac{3y\left(y-3\right)+\left(y-5\right)\times 6\left(y+8\right)}{6\left(y-3\right)\left(y+8\right)y^{2}}

Siden \frac{3y\left(y-3\right)}{6\left(y-3\right)\left(y+8\right)y^{2}} og \frac{\left(y-5\right)\times 6\left(y+8\right)}{6\left(y-3\right)\left(y+8\right)y^{2}} har samme nevner, kan du legge dem sammen ved å legge sammen tellerne.

\frac{3y^{2}-9y+6y^{2}+48y-30y-240}{6\left(y-3\right)\left(y+8\right)y^{2}}

Utfør multiplikasjonene i 3y\left(y-3\right)+\left(y-5\right)\times 6\left(y+8\right).

\frac{9y^{2}+9y-240}{6\left(y-3\right)\left(y+8\right)y^{2}}

Kombiner like ledd i 3y^{2}-9y+6y^{2}+48y-30y-240.

\frac{9y^{2}+9y-240}{6y^{4}+30y^{3}-144y^{2}}

Utvid 6\left(y-3\right)\left(y+8\right)y^{2}.