(-4+5i)(2+3i) eching

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

Baholash

$$-23-2i$$

Yechim qadamlari

Binomlarni ko‘paytirgandek -4+5i va 2+3i murakkab sonlarni ko‘paytiring.

$$-4\times 2-4\times \left(3i\right)+5i\times 2+5\times 3i^{2}$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

Ko‘paytirishlarni bajaring.

$$-8-12i+10i-15$$

Real va mavhum qismlarni birlashtiring.

$$-8-15+\left(-12+10\right)i$$

Qo‘shishlarni bajaring.

$$-23-2i$$

Ashyoviy qism

$$-23$$

Yechim qadamlari

Binomlarni ko‘paytirgandek -4+5i va 2+3i murakkab sonlarni ko‘paytiring.

$$Re(-4\times 2-4\times \left(3i\right)+5i\times 2+5\times 3i^{2})$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

-4\times 2-4\times \left(3i\right)+5i\times 2+5\times 3\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$Re(-8-12i+10i-15)$$

-8-12i+10i-15 ichida real va mavhum qismlarni birlashtiring.

$$Re(-8-15+\left(-12+10\right)i)$$

-8-15+\left(-12+10\right)i ichida qo‘shishlarni bajaring.

$$Re(-23-2i)$$

-23-2i ning real qismi – -23.

$$-23$$