(-4+3i)+2(8+1i)-i(2+1i) eching

$$( - 4 + 3 i ) + 2 ( 8 + 1 i ) - i ( 2 + 1 i )$$

Baholash

$$13+3i$$

Yechim qadamlari

2 ni 8+i marotabaga ko'paytirish.

$$-4+3i+2\times 8+2i-i\left(2+i\right)$$

2\times 8+2i ichidagi ko‘paytirishlarni bajaring.

$$-4+3i+\left(16+2i\right)-i\left(2+i\right)$$

-4+3i+16+2i ichida real va mavhum qismlarni birlashtiring.

$$-4+16+\left(3+2\right)i-i\left(2+i\right)$$

-4+16+\left(3+2\right)i ichida qo‘shishlarni bajaring.

$$12+5i-i\left(2+i\right)$$

i ni 2+i marotabaga ko'paytirish.

$$12+5i-\left(2i+i^{2}\right)$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$12+5i-\left(2i-1\right)$$

Shartlarni qayta saralash.

$$12+5i-\left(-1+2i\right)$$

-1+2i ni 12+5i dan mos real va mavhum qismlarni ayirish orqali ayiring.

$$12-\left(-1\right)+\left(5-2\right)i$$

12 dan -1 ni ayirish. 5 dan 2 ni ayirish.

$$13+3i$$

Ashyoviy qism

$$13$$

Yechim qadamlari

2 ni 8+i marotabaga ko'paytirish.

$$Re(-4+3i+2\times 8+2i-i\left(2+i\right))$$

2\times 8+2i ichidagi ko‘paytirishlarni bajaring.

$$Re(-4+3i+\left(16+2i\right)-i\left(2+i\right))$$

-4+3i+16+2i ichida real va mavhum qismlarni birlashtiring.

$$Re(-4+16+\left(3+2\right)i-i\left(2+i\right))$$

-4+16+\left(3+2\right)i ichida qo‘shishlarni bajaring.

$$Re(12+5i-i\left(2+i\right))$$

i ni 2+i marotabaga ko'paytirish.

$$Re(12+5i-\left(2i+i^{2}\right))$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$Re(12+5i-\left(2i-1\right))$$

Shartlarni qayta saralash.

$$Re(12+5i-\left(-1+2i\right))$$

-1+2i ni 12+5i dan mos real va mavhum qismlarni ayirish orqali ayiring.

$$Re(12-\left(-1\right)+\left(5-2\right)i)$$

12 dan -1 ni ayirish. 5 dan 2 ni ayirish.

$$Re(13+3i)$$

13+3i ning real qismi – 13.

$$13$$