Solve 12-9i+(-6+8i)-(3-5i)

$$12 - 9 i + ( - 6 + 8 i ) - ( 3 - 5 i )$$

Evaluate

$$3+4i$$

Solution Steps

Combine the real and imaginary parts in numbers 12-9i and -6+8i.

$$12-6+\left(-9+8\right)i-\left(3-5i\right)$$

Add 12 to -6. Add -9 to 8.

$$6-i-\left(3-5i\right)$$

Subtract 3-5i from 6-i by subtracting corresponding real and imaginary parts.

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

Subtract 3 from 6. Subtract -5 from -1.

$$3+4i$$

Real Part

$$3$$

Solution Steps

Combine the real and imaginary parts in numbers 12-9i and -6+8i.

$$Re(12-6+\left(-9+8\right)i-\left(3-5i\right))$$

Add 12 to -6. Add -9 to 8.

$$Re(6-i-\left(3-5i\right))$$

Subtract 3-5i from 6-i by subtracting corresponding real and imaginary parts.

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

Subtract 3 from 6. Subtract -5 from -1.

$$Re(3+4i)$$

The real part of 3+4i is 3.

$$3$$