Whakaoti i te (2i^2-1)(i^3+2)/2-i

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

Aromātai

$$-3$$

Ngā Upane Otinga

Tātaihia te i mā te pū o 2, kia riro ko -1.

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

Whakareatia te 2 ki te -1, ka -2.

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

Tangohia te 1 i te -2, ka -3.

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

Tātaihia te i mā te pū o 3, kia riro ko -i.

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

Whakawehea te -3\left(-i+2\right) ki te 2-i, kia riro ko \left(-\frac{6}{5}-\frac{3}{5}i\right)\left(-i+2\right).

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

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{6}{5}-\frac{3}{5}i ki te -i+2.

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

Tāpirihia te -\frac{3}{5}+\frac{6}{5}i ki te -\frac{12}{5}-\frac{6}{5}i, ka -3.

$$-3$$

Wāhi Tūturu

$$-3$$

Ngā Upane Otinga

Tātaihia te i mā te pū o 2, kia riro ko -1.

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

Whakareatia te 2 ki te -1, ka -2.

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

Tangohia te 1 i te -2, ka -3.

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

Tātaihia te i mā te pū o 3, kia riro ko -i.

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

Whakawehea te -3\left(-i+2\right) ki te 2-i, kia riro ko \left(-\frac{6}{5}-\frac{3}{5}i\right)\left(-i+2\right).

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

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{6}{5}-\frac{3}{5}i ki te -i+2.

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

Tāpirihia te -\frac{3}{5}+\frac{6}{5}i ki te -\frac{12}{5}-\frac{6}{5}i, ka -3.

$$Re(-3)$$

Ko te wāhi tūturu o -3 ko -3.

$$-3$$