Question

1 the sum of the binomials 3 + 2x and 4 – 5x. Explain how you can use the

result to find the sum of the complex numbers 3 +

n of the complex numbers 3 + 2i and 4 – 5i.

Answer 1

The sum of the complex numbers is 7-3i

Explanation:

We have the binomials 3 + 2x and 4 - 5x. When we sum binomials, we have to sum the independent terms with each other and the first degree terms with each other. Then:

(3 + 2x) + (4 - 5x) = (3 + 4) + (2-5)x = 7 - 3x

Therefore, we can cosider i as a variable and the sum of the complex number would be:

(3 + 2i) + (4 - 5i) = (3 + 4) + (2-5)i = 7 - 3i

Answer 2

(3 + 2x) + (4 – 5x) = 7 - 3x

(3 + 2i) + (4 – 5i) = 7 - 3i

Explanation:

In the addition of two binomials you have to add separately each monomial as follows:

(3 + 2x) + (4 – 5x) =

= (3 + 4) + (2x - 5x) =

= 7 - 3x

Analogously, the sum of the complex numbers 3 + 2i and 4 – 5i is made adding the two real parts from one side, and the two imaginary parts from the other side, as follows:

(3 + 2i) + (4 – 5i) =

= (3 + 4) + (2i - 5i) =

= 7 - 3i