Whakaoti i te 2x^4/4^2+3*5/2-2x(-2)/(-2^2)+3*5/2

$$\frac { 2 x ^ { 4 } } { 4 ^ { 2 } + 3 } \times \frac { 5 } { 2 } - \frac { 2 x ( - 2 ) } { ( - 2 ^ { 2 } ) + 3 } \times \frac { 5 } { 2 }$$

Aromātai

$$\frac{5x^{4}}{19}-10x$$

Ngā Hipanga Rongoā Poto

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$\frac{2x^{4}}{16+3}\times \frac{5}{2}-\frac{2x\left(-2\right)}{-2^{2}+3}\times \frac{5}{2}$$

Tāpirihia te 16 ki te 3, ka 19.

$$\frac{2x^{4}}{19}\times \frac{5}{2}-\frac{2x\left(-2\right)}{-2^{2}+3}\times \frac{5}{2}$$

Me whakarea te \frac{2x^{4}}{19} ki te \frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2x^{4}\times 5}{19\times 2}-\frac{2x\left(-2\right)}{-2^{2}+3}\times \frac{5}{2}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{5x^{4}}{19}-\frac{2x\left(-2\right)}{-2^{2}+3}\times \frac{5}{2}$$

Whakareatia te 2 ki te -2, ka -4.

$$\frac{5x^{4}}{19}-\frac{-4x}{-2^{2}+3}\times \frac{5}{2}$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$\frac{5x^{4}}{19}-\frac{-4x}{-4+3}\times \frac{5}{2}$$

Tāpirihia te -4 ki te 3, ka -1.

$$\frac{5x^{4}}{19}-\frac{-4x}{-1}\times \frac{5}{2}$$

Ko te mea whakawehea ki te -1 ka hōmai i tōna kōaro.

$$\frac{5x^{4}}{19}-4x\times \frac{5}{2}$$

Whakareatia te 4 ki te \frac{5}{2}, ka 10.

$$\frac{5x^{4}}{19}-10x$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia -10x ki te \frac{19}{19}.

$$\frac{5x^{4}}{19}+\frac{19\left(-10\right)x}{19}$$

Tā te mea he rite te tauraro o \frac{5x^{4}}{19} me \frac{19\left(-10\right)x}{19}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5x^{4}+19\left(-10\right)x}{19}$$

Mahia ngā whakarea i roto o 5x^{4}+19\left(-10\right)x.

$$\frac{5x^{4}-190x}{19}$$

Tauwehe

$$\frac{5x\left(x^{3}-38\right)}{19}$$

Ngā Upane Otinga

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$factor(\frac{2x^{4}}{16+3}\times \frac{5}{2}-\frac{2x\left(-2\right)}{-2^{2}+3}\times \frac{5}{2})$$

Tāpirihia te 16 ki te 3, ka 19.

$$factor(\frac{2x^{4}}{19}\times \frac{5}{2}-\frac{2x\left(-2\right)}{-2^{2}+3}\times \frac{5}{2})$$

Me whakarea te \frac{2x^{4}}{19} ki te \frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$factor(\frac{2x^{4}\times 5}{19\times 2}-\frac{2x\left(-2\right)}{-2^{2}+3}\times \frac{5}{2})$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$factor(\frac{5x^{4}}{19}-\frac{2x\left(-2\right)}{-2^{2}+3}\times \frac{5}{2})$$

Whakareatia te 2 ki te -2, ka -4.

$$factor(\frac{5x^{4}}{19}-\frac{-4x}{-2^{2}+3}\times \frac{5}{2})$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$factor(\frac{5x^{4}}{19}-\frac{-4x}{-4+3}\times \frac{5}{2})$$

Tāpirihia te -4 ki te 3, ka -1.

$$factor(\frac{5x^{4}}{19}-\frac{-4x}{-1}\times \frac{5}{2})$$

Ko te mea whakawehea ki te -1 ka hōmai i tōna kōaro.

$$factor(\frac{5x^{4}}{19}-4x\times \frac{5}{2})$$

Whakareatia te 4 ki te \frac{5}{2}, ka 10.

$$factor(\frac{5x^{4}}{19}-10x)$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia -10x ki te \frac{19}{19}.

$$factor(\frac{5x^{4}}{19}+\frac{19\left(-10\right)x}{19})$$

Tā te mea he rite te tauraro o \frac{5x^{4}}{19} me \frac{19\left(-10\right)x}{19}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$factor(\frac{5x^{4}+19\left(-10\right)x}{19})$$

Mahia ngā whakarea i roto o 5x^{4}+19\left(-10\right)x.

$$factor(\frac{5x^{4}-190x}{19})$$

Whakaarohia te 5x^{4}-190x. Tauwehea te 5.

$$5\left(x^{4}-38x\right)$$

Whakaarohia te x^{4}-38x. Tauwehea te x.

$$x\left(x^{3}-38\right)$$

Me tuhi anō te kīanga whakatauwehe katoa. Whakarūnātia. Kāore te pūrau x^{3}-38 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

$$\frac{5x\left(x^{3}-38\right)}{19}$$