(6+8i)(6-8i) eching

$$( 6 + 8 i ) ( 6 - 8 i )$$

Baholash

$$100$$

Yechim qadamlari

Binomlarni ko‘paytirgandek 6+8i va 6-8i murakkab sonlarni ko‘paytiring.

$$6\times 6+6\times \left(-8i\right)+8i\times 6+8\left(-8\right)i^{2}$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$6\times 6+6\times \left(-8i\right)+8i\times 6+8\left(-8\right)\left(-1\right)$$

Ko‘paytirishlarni bajaring.

$$36-48i+48i+64$$

Real va mavhum qismlarni birlashtiring.

$$36+64+\left(-48+48\right)i$$

Qo‘shishlarni bajaring.

$$100$$

Ashyoviy qism

$$100$$

Yechim qadamlari

Binomlarni ko‘paytirgandek 6+8i va 6-8i murakkab sonlarni ko‘paytiring.

$$Re(6\times 6+6\times \left(-8i\right)+8i\times 6+8\left(-8\right)i^{2})$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$Re(6\times 6+6\times \left(-8i\right)+8i\times 6+8\left(-8\right)\left(-1\right))$$

6\times 6+6\times \left(-8i\right)+8i\times 6+8\left(-8\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$Re(36-48i+48i+64)$$

36-48i+48i+64 ichida real va mavhum qismlarni birlashtiring.

$$Re(36+64+\left(-48+48\right)i)$$

36+64+\left(-48+48\right)i ichida qo‘shishlarni bajaring.

$$Re(100)$$

100 ning real qismi – 100.

$$100$$