Issolvi 2x^4/4^2+3*5/2-2x(-2)/(-2^2)+3*5/2

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

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Ikkalkula 4 bil-power ta' 2 u tikseb 16.

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

Żid 16 u 3 biex tikseb 19.

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

Immultiplika \frac{2x^{4}}{19} b'\frac{5}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Annulla 2 fin-numeratur u d-denominatur.

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

Immultiplika 2 u -2 biex tikseb -4.

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

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

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

Żid -4 u 3 biex tikseb -1.

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

Kwalunkwe ħaġa diviża b '-1 jagħtik oppost tiegħu.

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

Immultiplika 4 u \frac{5}{2} biex tikseb 10.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika -10x b'\frac{19}{19}.

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

Billi \frac{5x^{4}}{19} u \frac{19\left(-10\right)x}{19} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi 5x^{4}+19\left(-10\right)x.

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

Fattur

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

Passi tas-Soluzzjonijiet

Ikkalkula 4 bil-power ta' 2 u tikseb 16.

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

Żid 16 u 3 biex tikseb 19.

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

Immultiplika \frac{2x^{4}}{19} b'\frac{5}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Annulla 2 fin-numeratur u d-denominatur.

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

Immultiplika 2 u -2 biex tikseb -4.

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

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

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

Żid -4 u 3 biex tikseb -1.

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

Kwalunkwe ħaġa diviża b '-1 jagħtik oppost tiegħu.

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

Immultiplika 4 u \frac{5}{2} biex tikseb 10.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika -10x b'\frac{19}{19}.

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

Billi \frac{5x^{4}}{19} u \frac{19\left(-10\right)x}{19} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi 5x^{4}+19\left(-10\right)x.

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

Ikkunsidra li 5x^{4}-190x. Iffattura 'l barra 5.

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

Ikkunsidra li x^{4}-38x. Iffattura 'l barra x.

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

Erġa' ikteb l-espressjoni ffatturata kompluta. Issimplifika. Polynomial x^{3}-38 mhux fatturat billi m'għandux għeruq razzjonali.

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