(-3+4i)(5-6i) eching

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

Baholash

$$9+38i$$

Yechim qadamlari

Binomlarni ko‘paytirgandek -3+4i va 5-6i murakkab sonlarni ko‘paytiring.

$$-3\times 5-3\times \left(-6i\right)+4i\times 5+4\left(-6\right)i^{2}$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

Ko‘paytirishlarni bajaring.

$$-15+18i+20i+24$$

Real va mavhum qismlarni birlashtiring.

$$-15+24+\left(18+20\right)i$$

Qo‘shishlarni bajaring.

$$9+38i$$

Ashyoviy qism

$$9$$

Yechim qadamlari

Binomlarni ko‘paytirgandek -3+4i va 5-6i murakkab sonlarni ko‘paytiring.

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

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

-3\times 5-3\times \left(-6i\right)+4i\times 5+4\left(-6\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$Re(-15+18i+20i+24)$$

-15+18i+20i+24 ichida real va mavhum qismlarni birlashtiring.

$$Re(-15+24+\left(18+20\right)i)$$

-15+24+\left(18+20\right)i ichida qo‘shishlarni bajaring.

$$Re(9+38i)$$

9+38i ning real qismi – 9.

$$9$$