(-4-6i)(2+9i) eching

$$( - 4 - 6 i ) ( 2 + 9 i )$$

Baholash

$$46-48i$$

Yechim qadamlari

Binomlarni ko‘paytirgandek -4-6i va 2+9i murakkab sonlarni ko‘paytiring.

$$-4\times 2-4\times \left(9i\right)-6i\times 2-6\times 9i^{2}$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$-4\times 2-4\times \left(9i\right)-6i\times 2-6\times 9\left(-1\right)$$

Ko‘paytirishlarni bajaring.

$$-8-36i-12i+54$$

Real va mavhum qismlarni birlashtiring.

$$-8+54+\left(-36-12\right)i$$

Qo‘shishlarni bajaring.

$$46-48i$$

Ashyoviy qism

$$46$$

Yechim qadamlari

Binomlarni ko‘paytirgandek -4-6i va 2+9i murakkab sonlarni ko‘paytiring.

$$Re(-4\times 2-4\times \left(9i\right)-6i\times 2-6\times 9i^{2})$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$Re(-4\times 2-4\times \left(9i\right)-6i\times 2-6\times 9\left(-1\right))$$

-4\times 2-4\times \left(9i\right)-6i\times 2-6\times 9\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$Re(-8-36i-12i+54)$$

-8-36i-12i+54 ichida real va mavhum qismlarni birlashtiring.

$$Re(-8+54+\left(-36-12\right)i)$$

-8+54+\left(-36-12\right)i ichida qo‘shishlarni bajaring.

$$Re(46-48i)$$

46-48i ning real qismi – 46.

$$46$$