Issolvi (2i^2-1)(i^3+2)/2-i

$$\frac { ( 2 i ^ { 2 } - 1 ) ( i ^ { 3 } + 2 ) } { 2 - i }$$

Evalwa

$$-3$$

Passi tas-Soluzzjonijiet

Ikkalkula i bil-power ta' 2 u tikseb -1.

$$\frac{\left(2\left(-1\right)-1\right)\left(i^{3}+2\right)}{2-i}$$

Immultiplika 2 u -1 biex tikseb -2.

$$\frac{\left(-2-1\right)\left(i^{3}+2\right)}{2-i}$$

Naqqas 1 minn -2 biex tikseb -3.

$$\frac{-3\left(i^{3}+2\right)}{2-i}$$

Ikkalkula i bil-power ta' 3 u tikseb -i.

$$\frac{-3\left(-i+2\right)}{2-i}$$

Iddividi -3\left(-i+2\right) b'2-i biex tikseb\left(-\frac{6}{5}-\frac{3}{5}i\right)\left(-i+2\right).

$$\left(-\frac{6}{5}-\frac{3}{5}i\right)\left(-i+2\right)$$

Uża l-propjetà distributtiva biex timmultiplika -\frac{6}{5}-\frac{3}{5}i b'-i+2.

$$-\frac{3}{5}+\frac{6}{5}i+\left(-\frac{12}{5}-\frac{6}{5}i\right)$$

Żid -\frac{3}{5}+\frac{6}{5}i u -\frac{12}{5}-\frac{6}{5}i biex tikseb -3.

$$-3$$

Parti Reali

$$-3$$

Passi tas-Soluzzjonijiet

Ikkalkula i bil-power ta' 2 u tikseb -1.

$$Re(\frac{\left(2\left(-1\right)-1\right)\left(i^{3}+2\right)}{2-i})$$

Immultiplika 2 u -1 biex tikseb -2.

$$Re(\frac{\left(-2-1\right)\left(i^{3}+2\right)}{2-i})$$

Naqqas 1 minn -2 biex tikseb -3.

$$Re(\frac{-3\left(i^{3}+2\right)}{2-i})$$

Ikkalkula i bil-power ta' 3 u tikseb -i.

$$Re(\frac{-3\left(-i+2\right)}{2-i})$$

Iddividi -3\left(-i+2\right) b'2-i biex tikseb\left(-\frac{6}{5}-\frac{3}{5}i\right)\left(-i+2\right).

$$Re(\left(-\frac{6}{5}-\frac{3}{5}i\right)\left(-i+2\right))$$

Uża l-propjetà distributtiva biex timmultiplika -\frac{6}{5}-\frac{3}{5}i b'-i+2.

$$Re(-\frac{3}{5}+\frac{6}{5}i+\left(-\frac{12}{5}-\frac{6}{5}i\right))$$

Żid -\frac{3}{5}+\frac{6}{5}i u -\frac{12}{5}-\frac{6}{5}i biex tikseb -3.

$$Re(-3)$$

Il-parti reali ta' -3 hija -3.

$$-3$$