(-3+4i)+5(6-3i)-i(1-2i) eching

$$( - 3 + 4 i ) + 5 ( 6 - 3 i ) - i ( 1 - 2 i )$$

Baholash

$$25-12i$$

Yechim qadamlari

5 ni 6-3i marotabaga ko'paytirish.

$$-3+4i+5\times 6+5\times \left(-3i\right)-i\left(1-2i\right)$$

5\times 6+5\times \left(-3i\right) ichidagi ko‘paytirishlarni bajaring.

$$-3+4i+\left(30-15i\right)-i\left(1-2i\right)$$

-3+4i+30-15i ichida real va mavhum qismlarni birlashtiring.

$$-3+30+\left(4-15\right)i-i\left(1-2i\right)$$

-3+30+\left(4-15\right)i ichida qo‘shishlarni bajaring.

$$27-11i-i\left(1-2i\right)$$

i ni 1-2i marotabaga ko'paytirish.

$$27-11i-\left(i-2i^{2}\right)$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$27-11i-\left(i-2\left(-1\right)\right)$$

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

$$27-11i-\left(2+i\right)$$

2+i ni 27-11i dan mos real va mavhum qismlarni ayirish orqali ayiring.

$$27-2+\left(-11-1\right)i$$

27 dan 2 ni ayirish. -11 dan 1 ni ayirish.

$$25-12i$$

Ashyoviy qism

$$25$$

Yechim qadamlari

5 ni 6-3i marotabaga ko'paytirish.

$$Re(-3+4i+5\times 6+5\times \left(-3i\right)-i\left(1-2i\right))$$

5\times 6+5\times \left(-3i\right) ichidagi ko‘paytirishlarni bajaring.

$$Re(-3+4i+\left(30-15i\right)-i\left(1-2i\right))$$

-3+4i+30-15i ichida real va mavhum qismlarni birlashtiring.

$$Re(-3+30+\left(4-15\right)i-i\left(1-2i\right))$$

-3+30+\left(4-15\right)i ichida qo‘shishlarni bajaring.

$$Re(27-11i-i\left(1-2i\right))$$

i ni 1-2i marotabaga ko'paytirish.

$$Re(27-11i-\left(i-2i^{2}\right))$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$Re(27-11i-\left(i-2\left(-1\right)\right))$$

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

$$Re(27-11i-\left(2+i\right))$$

2+i ni 27-11i dan mos real va mavhum qismlarni ayirish orqali ayiring.

$$Re(27-2+\left(-11-1\right)i)$$

27 dan 2 ni ayirish. -11 dan 1 ni ayirish.

$$Re(25-12i)$$

25-12i ning real qismi – 25.

$$25$$