Løs 3/6y(y+8)+y-5/y^2(y-3) | Microsoft Problemløser til matematik

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Lignende problemer fra websøgning

https://socratic.org/questions/how-do-you-simplify-3-y-2-3y-2-5-y-2-1

https://socratic.org/questions/how-do-you-simplify-y-2-2y-35-y-2-25

https://socratic.org/questions/how-do-you-evaluate-the-limit-2y-2-2y-4-6y-3-1-3-as-y-approaches-5

https://socratic.org/questions/how-do-you-solve-frac-2-y-2-frac-4-y-3-frac-1-y-2-5y-6

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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}}

For tilføje eller fratrække udtryk skal du udvide dem for at gøre nævneren ens. Mindste fælles multiplum for 6y\left(y+8\right) og y^{2}\left(y-3\right) er 6\left(y-3\right)\left(y+8\right)y^{2}. Multiplicer \frac{3}{6y\left(y+8\right)} gange \frac{y\left(y-3\right)}{y\left(y-3\right)}. Multiplicer \frac{y-5}{y^{2}\left(y-3\right)} gange \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}}

Da \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 den samme fællesnævner, skal du addere dem ved at tilføje deres tællere.

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

Lav multiplikationerne 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 ens led i 3y^{2}-9y+6y^{2}+48y-30y-240.

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

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