(2-5i)(1-i)-(3-i)(3+i) eching

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

Baholash

$$-13-7i$$

Yechim qadamlari

Binomlarni ko‘paytirgandek 2-5i va 1-i murakkab sonlarni ko‘paytiring.

$$2\times 1+2\left(-i\right)-5i-5\left(-1\right)i^{2}-\left(3-i\right)\left(3+i\right)$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

2\times 1+2\left(-i\right)-5i-5\left(-1\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$2-2i-5i-5-\left(3-i\right)\left(3+i\right)$$

2-2i-5i-5 ichida real va mavhum qismlarni birlashtiring.

$$2-5+\left(-2-5\right)i-\left(3-i\right)\left(3+i\right)$$

2-5+\left(-2-5\right)i ichida qo‘shishlarni bajaring.

$$-3-7i-\left(3-i\right)\left(3+i\right)$$

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

$$-3-7i-\left(3\times 3+3i-i\times 3-i^{2}\right)$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$-3-7i-\left(3\times 3+3i-i\times 3-\left(-1\right)\right)$$

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

$$-3-7i-\left(9+3i-3i+1\right)$$

9+3i-3i+1 ichida real va mavhum qismlarni birlashtiring.

$$-3-7i-\left(9+1+\left(3-3\right)i\right)$$

9+1+\left(3-3\right)i ichida qo‘shishlarni bajaring.

$$-3-7i-10$$

10 ni -3-7i dan mos real va mavhum qismlarni ayirish orqali ayiring.

$$-3-10-7i$$

-13 olish uchun -3 dan 10 ni ayirish.

$$-13-7i$$

Ashyoviy qism

$$-13$$

Yechim qadamlari

Binomlarni ko‘paytirgandek 2-5i va 1-i murakkab sonlarni ko‘paytiring.

$$Re(2\times 1+2\left(-i\right)-5i-5\left(-1\right)i^{2}-\left(3-i\right)\left(3+i\right))$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

2\times 1+2\left(-i\right)-5i-5\left(-1\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$Re(2-2i-5i-5-\left(3-i\right)\left(3+i\right))$$

2-2i-5i-5 ichida real va mavhum qismlarni birlashtiring.

$$Re(2-5+\left(-2-5\right)i-\left(3-i\right)\left(3+i\right))$$

2-5+\left(-2-5\right)i ichida qo‘shishlarni bajaring.

$$Re(-3-7i-\left(3-i\right)\left(3+i\right))$$

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

$$Re(-3-7i-\left(3\times 3+3i-i\times 3-i^{2}\right))$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$Re(-3-7i-\left(3\times 3+3i-i\times 3-\left(-1\right)\right))$$

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

$$Re(-3-7i-\left(9+3i-3i+1\right))$$

9+3i-3i+1 ichida real va mavhum qismlarni birlashtiring.

$$Re(-3-7i-\left(9+1+\left(3-3\right)i\right))$$

9+1+\left(3-3\right)i ichida qo‘shishlarni bajaring.

$$Re(-3-7i-10)$$

10 ni -3-7i dan mos real va mavhum qismlarni ayirish orqali ayiring.

$$Re(-3-10-7i)$$

-13 olish uchun -3 dan 10 ni ayirish.

$$Re(-13-7i)$$

-13-7i ning real qismi – -13.

$$-13$$