which expression demonstrates the use of the commutative property of addition in the first step of…

which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (-1 + i) + (21 + 5i)?\n(-1 + i) + (21 + 5i) + 0\n-1 + (i + 21) + 5i\n(-1 + 21) + (i + 5i)\n-(1 - i) + (21 + 5i)

which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (-1 + i) + (21 + 5i)?\n(-1 + i) + (21 + 5i) + 0\n-1 + (i + 21) + 5i\n(-1 + 21) + (i + 5i)\n-(1 - i) + (21 + 5i)

Answer

Explanation:

Step1: Recall commutative property

The commutative property of addition for real - numbers (a) and (b) is (a + b=b + a), and for complex numbers (z_1=a_1 + b_1i) and (z_2=a_2 + b_2i), (z_1+z_2=z_2 + z_1). Given ((-1 + i)+(21 + 5i)), we can swap the real - part and real - part, and the imaginary - part and imaginary - part.

Step2: Apply to complex numbers

We rewrite ((-1 + i)+(21 + 5i)) as ((-1+21)+(i + 5i)) by using the commutative property of addition to re - arrange the real parts (-1) and (21), and the imaginary parts (i) and (5i).

Answer:

C. ((-1 + 21)+(i + 5i))