Riješi 2(4(1+i)-3(1+i)-3(2(1+i)+1-i)

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

Izračunaj

$$-16-4i$$

Koraci rješenja

Pomnožite 4 i 1+i.

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

Pomnožite izraz 4\times 1+4i.

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

Pomnožite 3 i 1+i.

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

Pomnožite izraz 3\times 1+3i.

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

Oduzmite 3+3i od 4+4i tako da oduzmete odgovarajuće realne i imaginarne dijelove.

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

Oduzmite 3 od 4. Oduzmite 3 od 4.

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

Pomnožite 2 i 1+i.

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

Pomnožite izraz 2\times 1+2i.

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

Kombinirajte realne i imaginarne dijelove u izrazu 2+2i+1-i.

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

Zbrojite izraz 2+1+\left(2-1\right)i.

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

Pomnožite 3 i 3+i.

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

Pomnožite izraz 3\times 3+3i.

$$2\left(1+i-\left(9+3i\right)\right)$$

Oduzmite 9+3i od 1+i tako da oduzmete odgovarajuće realne i imaginarne dijelove.

$$2\left(1-9+\left(1-3\right)i\right)$$

Oduzmite 9 od 1. Oduzmite 3 od 1.

$$2\left(-8-2i\right)$$

Pomnožite 2 i -8-2i.

$$2\left(-8\right)+2\times \left(-2i\right)$$

Pomnožite.

$$-16-4i$$

Realni dio

$$-16$$

Koraci rješenja

Pomnožite 4 i 1+i.

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

Pomnožite izraz 4\times 1+4i.

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

Pomnožite 3 i 1+i.

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

Pomnožite izraz 3\times 1+3i.

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

Oduzmite 3+3i od 4+4i tako da oduzmete odgovarajuće realne i imaginarne dijelove.

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

Oduzmite 3 od 4. Oduzmite 3 od 4.

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

Pomnožite 2 i 1+i.

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

Pomnožite izraz 2\times 1+2i.

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

Kombinirajte realne i imaginarne dijelove u izrazu 2+2i+1-i.

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

Zbrojite izraz 2+1+\left(2-1\right)i.

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

Pomnožite 3 i 3+i.

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

Pomnožite izraz 3\times 3+3i.

$$Re(2\left(1+i-\left(9+3i\right)\right))$$

Oduzmite 9+3i od 1+i tako da oduzmete odgovarajuće realne i imaginarne dijelove.

$$Re(2\left(1-9+\left(1-3\right)i\right))$$

Oduzmite 9 od 1. Oduzmite 3 od 1.

$$Re(2\left(-8-2i\right))$$

Pomnožite 2 i -8-2i.

$$Re(2\left(-8\right)+2\times \left(-2i\right))$$

Pomnožite izraz 2\left(-8\right)+2\times \left(-2i\right).

$$Re(-16-4i)$$

Realni dio broja -16-4i jest -16.

$$-16$$