Whakaoti i te (-3+4i)+5(6-3i)-i(1-2i)

$$( - 3 + 4 i ) + 5 ( 6 - 3 i ) - i ( 1 - 2 i )$$

Aromātai

$$25-12i$$

Ngā Upane Otinga

Whakareatia 5 ki te 6-3i.

$$-3+4i+5\times 6+5\times \left(-3i\right)-i\left(1-2i\right)$$

Mahia ngā whakarea i roto o 5\times 6+5\times \left(-3i\right).

$$-3+4i+\left(30-15i\right)-i\left(1-2i\right)$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -3+4i+30-15i.

$$-3+30+\left(4-15\right)i-i\left(1-2i\right)$$

Mahia ngā tāpiri i roto o -3+30+\left(4-15\right)i.

$$27-11i-i\left(1-2i\right)$$

Whakareatia i ki te 1-2i.

$$27-11i-\left(i-2i^{2}\right)$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$27-11i-\left(i-2\left(-1\right)\right)$$

Mahia ngā whakarea i roto o i-2\left(-1\right). Whakaraupapatia anō ngā kīanga tau.

$$27-11i-\left(2+i\right)$$

Tangohia te 2+i i te 27-11i mā te tango i ngā wāhi tūturu me ngā wāhi pohewa hāngai.

$$27-2+\left(-11-1\right)i$$

Tango 2 mai i 27. Tango 1 mai i -11.

$$25-12i$$

Wāhi Tūturu

$$25$$

Ngā Upane Otinga

Whakareatia 5 ki te 6-3i.

$$Re(-3+4i+5\times 6+5\times \left(-3i\right)-i\left(1-2i\right))$$

Mahia ngā whakarea i roto o 5\times 6+5\times \left(-3i\right).

$$Re(-3+4i+\left(30-15i\right)-i\left(1-2i\right))$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -3+4i+30-15i.

$$Re(-3+30+\left(4-15\right)i-i\left(1-2i\right))$$

Mahia ngā tāpiri i roto o -3+30+\left(4-15\right)i.

$$Re(27-11i-i\left(1-2i\right))$$

Whakareatia i ki te 1-2i.

$$Re(27-11i-\left(i-2i^{2}\right))$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(27-11i-\left(i-2\left(-1\right)\right))$$

Mahia ngā whakarea i roto o i-2\left(-1\right). Whakaraupapatia anō ngā kīanga tau.

$$Re(27-11i-\left(2+i\right))$$

Tangohia te 2+i i te 27-11i mā te tango i ngā wāhi tūturu me ngā wāhi pohewa hāngai.

$$Re(27-2+\left(-11-1\right)i)$$

Tango 2 mai i 27. Tango 1 mai i -11.

$$Re(25-12i)$$

Ko te wāhi tūturu o 25-12i ko 25.

$$25$$