(2+4i)*(3-2i)Rightarrow( eching

$$( 2 + 4 i ) \cdot ( 3 - 2 i ) \Rightarrow ($$

Baholash

$$14+8i$$

Yechim qadamlari

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

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

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

Ko‘paytirishlarni bajaring.

$$6-4i+12i+8$$

Real va mavhum qismlarni birlashtiring.

$$6+8+\left(-4+12\right)i$$

Qo‘shishlarni bajaring.

$$14+8i$$

Ashyoviy qism

$$14$$

Yechim qadamlari

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

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

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

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

$$Re(6-4i+12i+8)$$

6-4i+12i+8 ichida real va mavhum qismlarni birlashtiring.

$$Re(6+8+\left(-4+12\right)i)$$

6+8+\left(-4+12\right)i ichida qo‘shishlarni bajaring.

$$Re(14+8i)$$

14+8i ning real qismi – 14.

$$14$$