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

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

Baholash

$$-4+52i$$

Yechim qadamlari

4i ni 2-i marotabaga ko'paytirish.

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

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

Ko‘paytirishlarni bajaring. Shartlarni qayta saralash.

$$\left(4+8i\right)\left(5+3i\right)$$

Binomlarni ko‘paytirgandek 4+8i va 5+3i murakkab sonlarni ko‘paytiring.

$$4\times 5+4\times \left(3i\right)+8i\times 5+8\times 3i^{2}$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$4\times 5+4\times \left(3i\right)+8i\times 5+8\times 3\left(-1\right)$$

Ko‘paytirishlarni bajaring.

$$20+12i+40i-24$$

Real va mavhum qismlarni birlashtiring.

$$20-24+\left(12+40\right)i$$

Qo‘shishlarni bajaring.

$$-4+52i$$

Ashyoviy qism

$$-4$$

Yechim qadamlari

4i ni 2-i marotabaga ko'paytirish.

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

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

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

$$Re(\left(4+8i\right)\left(5+3i\right))$$

Binomlarni ko‘paytirgandek 4+8i va 5+3i murakkab sonlarni ko‘paytiring.

$$Re(4\times 5+4\times \left(3i\right)+8i\times 5+8\times 3i^{2})$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$Re(4\times 5+4\times \left(3i\right)+8i\times 5+8\times 3\left(-1\right))$$

4\times 5+4\times \left(3i\right)+8i\times 5+8\times 3\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$Re(20+12i+40i-24)$$

20+12i+40i-24 ichida real va mavhum qismlarni birlashtiring.

$$Re(20-24+\left(12+40\right)i)$$

20-24+\left(12+40\right)i ichida qo‘shishlarni bajaring.

$$Re(-4+52i)$$

-4+52i ning real qismi – -4.

$$-4$$