Given two complex numbers $z\_1\; =\; 3\; +\; 4i$ and $z\_2\; =\; -1\; +\; 2i$, what is the result of $(z\_1\; -\; z\_2)\; +\; (2z\_2\; -\; z\_1)$? Choose the correct answer.

If $z\_1\; =\; a\; +\; bi$ and $z\_2\; =\; c\; +\; di$ are complex numbers in standard form, then the difference $z\_1\; -\; z\_2$ can be calculated by subtracting their real parts and imaginary parts separately, resulting in $(a\; -\; c)\; +\; (b\; -\; d)i$.

If $z\_1\; =\; 4\; +\; 7i$ and $z\_2\; =\; -3\; +\; 2i$, what is the result of $z\_1\; -\; z\_2$? Provide your answer in the form a + bi.

Match each complex number addition or subtraction expression on the left with its correct simplified result on the right.

Put the following steps in the correct order to find the result of the expression \( (3 + 4i) - (5 + 2i) + (1 - 6i) \) by using complex number addition and subtraction.

Sort each item into the correct category.

Arrange the steps involved in adding and subtracting complex numbers in the correct sequence.

Unscramble the letters to name the term that represents the sum or difference of real and imaginary parts in complex numbers.

Select all statements that correctly describe the results of adding and subtracting complex numbers in standard form.

If $z\_1\; =\; 3\; +\; 4i$ and $z\_2\; =\; -1\; +\; 2i$, what is the result of the expression $(z\_1\; -\; z\_2)\; +\; (z\_2\; -\; z\_1)$? Choose the best simplified answer and explain the reasoning behind the arithmetic of complex number addition and subtraction involved.