Simplify the given expression below: (4 + 2i) - (1 - 7i)

Solution:

Given (4 + 2i) - (1 - 7i)

The subtraction between two complex numbers can be done as real part is operated together and imaginary part is operated together

(a+bi) - (c+di) = (a - c) + (bi -di)

=(a-c) + i(b-d)

= (4 - 1) +(2i - (-7i))

3 + 2i + 7i

3 + 9i

Therefore, the simplified expression is 3 + 9i

Simplify the given expression below: (4 + 2i) - (1 - 7i)

Summary:

The given expression below: (4 + 2i) - (1 - 7i) is 3 + 9i.