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

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

Enrhifo

$$-3$$

Camau Ateb

Cyfrifo i i bŵer 2 a chael -1.

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

Lluosi 2 a -1 i gael -2.

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

Tynnu 1 o -2 i gael -3.

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

Cyfrifo i i bŵer 3 a chael -i.

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

Rhannu -3\left(-i+2\right) â 2-i i gael \left(-\frac{6}{5}-\frac{3}{5}i\right)\left(-i+2\right).

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

Defnyddio’r briodwedd ddosbarthu i luosi -\frac{6}{5}-\frac{3}{5}i â -i+2.

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

Adio -\frac{3}{5}+\frac{6}{5}i a -\frac{12}{5}-\frac{6}{5}i i gael -3.

$$-3$$

Rhan Real

$$-3$$

Camau Ateb

Cyfrifo i i bŵer 2 a chael -1.

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

Lluosi 2 a -1 i gael -2.

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

Tynnu 1 o -2 i gael -3.

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

Cyfrifo i i bŵer 3 a chael -i.

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

Rhannu -3\left(-i+2\right) â 2-i i gael \left(-\frac{6}{5}-\frac{3}{5}i\right)\left(-i+2\right).

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

Defnyddio’r briodwedd ddosbarthu i luosi -\frac{6}{5}-\frac{3}{5}i â -i+2.

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

Adio -\frac{3}{5}+\frac{6}{5}i a -\frac{12}{5}-\frac{6}{5}i i gael -3.

$$Re(-3)$$

Rhan real -3 yw -3.

$$-3$$