Rešite -x^{3}y+2xy(-2/3x^2)+6x^2(-3/8xy)-y(-2x^3-1/4x^3)

$$- x ^ { 3 } y + 2 x y ( - \frac { 2 } { 3 } x ^ { 2 } ) + 6 x ^ { 2 } ( - \frac { 3 } { 8 } x y ) - y ( - 2 x ^ { 3 } - \frac { 1 } { 4 } x ^ { 3 } )$$

Ovrednoti

$$-\frac{7yx^{3}}{3}$$

Koraki rešitve

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 1 in 2, da dobite 3.

$$\left(-x^{3}\right)y+2x^{3}y\left(-\frac{2}{3}\right)+6x^{2}\left(-\frac{3}{8}\right)xy-y\left(-2x^{3}-\frac{1}{4}x^{3}\right)$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 2 in 1, da dobite 3.

$$\left(-x^{3}\right)y+2x^{3}y\left(-\frac{2}{3}\right)+6x^{3}\left(-\frac{3}{8}\right)y-y\left(-2x^{3}-\frac{1}{4}x^{3}\right)$$

Pomnožite 2 in -\frac{2}{3}, da dobite -\frac{4}{3}.

$$\left(-x^{3}\right)y-\frac{4}{3}x^{3}y+6x^{3}\left(-\frac{3}{8}\right)y-y\left(-2x^{3}-\frac{1}{4}x^{3}\right)$$

Pomnožite 6 in -\frac{3}{8}, da dobite -\frac{9}{4}.

$$\left(-x^{3}\right)y-\frac{4}{3}x^{3}y-\frac{9}{4}x^{3}y-y\left(-2x^{3}-\frac{1}{4}x^{3}\right)$$

Združite -\frac{4}{3}x^{3}y in -\frac{9}{4}x^{3}y, da dobite -\frac{43}{12}x^{3}y.

$$\left(-x^{3}\right)y-\frac{43}{12}x^{3}y-y\left(-2x^{3}-\frac{1}{4}x^{3}\right)$$

Združite -2x^{3} in -\frac{1}{4}x^{3}, da dobite -\frac{9}{4}x^{3}.

$$\left(-x^{3}\right)y-\frac{43}{12}x^{3}y-y\left(-\frac{9}{4}\right)x^{3}$$

Združite -\frac{43}{12}x^{3}y in -y\left(-\frac{9}{4}\right)x^{3}, da dobite -\frac{4}{3}x^{3}y.

$$\left(-x^{3}\right)y-\frac{4}{3}x^{3}y$$

Združite -x^{3}y in -\frac{4}{3}x^{3}y, da dobite -\frac{7}{3}x^{3}y.

$$-\frac{7}{3}x^{3}y$$

Razširi

$$-\frac{7yx^{3}}{3}$$

Koraki rešitve

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 1 in 2, da dobite 3.

$$\left(-x^{3}\right)y+2x^{3}y\left(-\frac{2}{3}\right)+6x^{2}\left(-\frac{3}{8}\right)xy-y\left(-2x^{3}-\frac{1}{4}x^{3}\right)$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 2 in 1, da dobite 3.

$$\left(-x^{3}\right)y+2x^{3}y\left(-\frac{2}{3}\right)+6x^{3}\left(-\frac{3}{8}\right)y-y\left(-2x^{3}-\frac{1}{4}x^{3}\right)$$

Pomnožite 2 in -\frac{2}{3}, da dobite -\frac{4}{3}.

$$\left(-x^{3}\right)y-\frac{4}{3}x^{3}y+6x^{3}\left(-\frac{3}{8}\right)y-y\left(-2x^{3}-\frac{1}{4}x^{3}\right)$$

Pomnožite 6 in -\frac{3}{8}, da dobite -\frac{9}{4}.

$$\left(-x^{3}\right)y-\frac{4}{3}x^{3}y-\frac{9}{4}x^{3}y-y\left(-2x^{3}-\frac{1}{4}x^{3}\right)$$

Združite -\frac{4}{3}x^{3}y in -\frac{9}{4}x^{3}y, da dobite -\frac{43}{12}x^{3}y.

$$\left(-x^{3}\right)y-\frac{43}{12}x^{3}y-y\left(-2x^{3}-\frac{1}{4}x^{3}\right)$$

Združite -2x^{3} in -\frac{1}{4}x^{3}, da dobite -\frac{9}{4}x^{3}.

$$\left(-x^{3}\right)y-\frac{43}{12}x^{3}y-y\left(-\frac{9}{4}\right)x^{3}$$

Združite -\frac{43}{12}x^{3}y in -y\left(-\frac{9}{4}\right)x^{3}, da dobite -\frac{4}{3}x^{3}y.

$$\left(-x^{3}\right)y-\frac{4}{3}x^{3}y$$

Združite -x^{3}y in -\frac{4}{3}x^{3}y, da dobite -\frac{7}{3}x^{3}y.

$$-\frac{7}{3}x^{3}y$$