3i(1-i)/1+i eching

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

Baholash

$$3$$

Yechim qadamlari

3i ni 1-i marotabaga ko'paytirish.

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

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

3i\times 1+3\left(-1\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring. Shartlarni qayta saralash.

$$\frac{3+3i}{1+i}$$

Ham hisoblagich, ham maxrajni maxraj kompleksiga murakkablash orqali ko'paytirish, 1-i.

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

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.

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

Binomlarni ko‘paytirgandek 3+3i va 1-i murakkab sonlarni ko‘paytiring.

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

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

3\times 1+3\left(-i\right)+3i\times 1+3\left(-1\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{3-3i+3i+3}{2}$$

3-3i+3i+3 ichida real va mavhum qismlarni birlashtiring.

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

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

$$\frac{6}{2}$$

3 ni olish uchun 6 ni 2 ga bo‘ling.

$$3$$

Ashyoviy qism

$$3$$

Yechim qadamlari

3i ni 1-i marotabaga ko'paytirish.

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

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

3i\times 1+3\left(-1\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring. Shartlarni qayta saralash.

$$Re(\frac{3+3i}{1+i})$$

\frac{3+3i}{1+i}ning surat va maxrajini murakkab tutash maxraj 1-i bilan ko‘paytiring.

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

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.

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

Binomlarni ko‘paytirgandek 3+3i va 1-i murakkab sonlarni ko‘paytiring.

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

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

3\times 1+3\left(-i\right)+3i\times 1+3\left(-1\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

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

3-3i+3i+3 ichida real va mavhum qismlarni birlashtiring.

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

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

$$Re(\frac{6}{2})$$

3 ni olish uchun 6 ni 2 ga bo‘ling.

$$Re(3)$$

3 ning real qismi – 3.

$$3$$