Issolvi (x+0.5)(-x^3+1.5x^2+0.75x+3/8)

$$(x+0.5)(- { x }^{ 3 } +1.5 { x }^{ 2 } +0.75x+ \frac{ 3 }{ 8 } )$$

Evalwa

$$-x^{4}+x^{3}+\frac{3x^{2}}{2}+\frac{3x}{4}+0.1875$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika x+0.5 b'-x^{3}+1.5x^{2}+0.75x+\frac{3}{8} u kkombina termini simili.

$$x\left(-x^{3}\right)+1.5x^{3}+1.5x^{2}+\frac{3}{4}x+0.5\left(-x^{3}\right)+\frac{3}{16}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 1 u 3 biex tikseb 4.

$$x^{4}\left(-1\right)+1.5x^{3}+1.5x^{2}+\frac{3}{4}x+0.5\left(-1\right)x^{3}+\frac{3}{16}$$

Immultiplika 0.5 u -1 biex tikseb -0.5.

$$x^{4}\left(-1\right)+1.5x^{3}+1.5x^{2}+\frac{3}{4}x-0.5x^{3}+\frac{3}{16}$$

Ikkombina 1.5x^{3} u -0.5x^{3} biex tikseb x^{3}.

$$x^{4}\left(-1\right)+x^{3}+1.5x^{2}+\frac{3}{4}x+\frac{3}{16}$$

Espandi

$$-x^{4}+x^{3}+\frac{3x^{2}}{2}+\frac{3x}{4}+0.1875$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika x+0.5 b'-x^{3}+1.5x^{2}+0.75x+\frac{3}{8} u kkombina termini simili.

$$x\left(-x^{3}\right)+1.5x^{3}+1.5x^{2}+\frac{3}{4}x+0.5\left(-x^{3}\right)+\frac{3}{16}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 1 u 3 biex tikseb 4.

$$x^{4}\left(-1\right)+1.5x^{3}+1.5x^{2}+\frac{3}{4}x+0.5\left(-1\right)x^{3}+\frac{3}{16}$$

Immultiplika 0.5 u -1 biex tikseb -0.5.

$$x^{4}\left(-1\right)+1.5x^{3}+1.5x^{2}+\frac{3}{4}x-0.5x^{3}+\frac{3}{16}$$

Ikkombina 1.5x^{3} u -0.5x^{3} biex tikseb x^{3}.

$$x^{4}\left(-1\right)+x^{3}+1.5x^{2}+\frac{3}{4}x+\frac{3}{16}$$