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

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

Baholash

$$-14+23i$$

Yechim qadamlari

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

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

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

Ko‘paytirishlarni bajaring.

$$6+8i+15i-20$$

Real va mavhum qismlarni birlashtiring.

$$6-20+\left(8+15\right)i$$

Qo‘shishlarni bajaring.

$$-14+23i$$

Ashyoviy qism

$$-14$$

Yechim qadamlari

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

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

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

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

$$Re(6+8i+15i-20)$$

6+8i+15i-20 ichida real va mavhum qismlarni birlashtiring.

$$Re(6-20+\left(8+15\right)i)$$

6-20+\left(8+15\right)i ichida qo‘shishlarni bajaring.

$$Re(-14+23i)$$

-14+23i ning real qismi – -14.

$$-14$$