(1-2i)*(-5+4i)+(-2-2i) eching

$$( 1 - 2 i ) \cdot ( - 5 + 4 i ) + ( - 2 - 2 i )$$

Baholash

$$1+12i$$

Yechim qadamlari

Binomlarni ko‘paytirgandek 1-2i va -5+4i murakkab sonlarni ko‘paytiring.

$$1\left(-5\right)+1\times \left(4i\right)-2i\left(-5\right)-2\times 4i^{2}+\left(-2-2i\right)$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

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

$$-5+4i+10i+8+\left(-2-2i\right)$$

-5+4i+10i+8 ichida real va mavhum qismlarni birlashtiring.

$$-5+8+\left(4+10\right)i+\left(-2-2i\right)$$

-5+8+\left(4+10\right)i ichida qo‘shishlarni bajaring.

$$3+14i+\left(-2-2i\right)$$

Real va mavhum qismlarni birlashtiring.

$$3-2+\left(14-2\right)i$$

Qo‘shishlarni bajaring.

$$1+12i$$

Ashyoviy qism

$$1$$

Yechim qadamlari

Binomlarni ko‘paytirgandek 1-2i va -5+4i murakkab sonlarni ko‘paytiring.

$$Re(1\left(-5\right)+1\times \left(4i\right)-2i\left(-5\right)-2\times 4i^{2}+\left(-2-2i\right))$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

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

$$Re(-5+4i+10i+8+\left(-2-2i\right))$$

-5+4i+10i+8 ichida real va mavhum qismlarni birlashtiring.

$$Re(-5+8+\left(4+10\right)i+\left(-2-2i\right))$$

-5+8+\left(4+10\right)i ichida qo‘shishlarni bajaring.

$$Re(3+14i+\left(-2-2i\right))$$

3+14i+\left(-2-2i\right) ichida real va mavhum qismlarni birlashtiring.

$$Re(3-2+\left(14-2\right)i)$$

3-2+\left(14-2\right)i ichida qo‘shishlarni bajaring.

$$Re(1+12i)$$

1+12i ning real qismi – 1.

$$1$$