The product of the two complex numbers (5 – 2i) and (3 + i) is 17 - i after using the distribution property the answer is 17 - i.
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have two complex numbers:
(5 – 2i) and (3 + i)
It is required to find the product of the complex number:
= (5 – 2i)(3 + i)
By using the distribution property:
= 15 + 5i - 6i - 2i²
As we know i is the iota and the value of i is:
i = √-1
i² = -1
Plug the i² = -1 in the above expression:
= 15 + 5i - 6i - 2(-1)
= 15 + 5i - 6i + 2
= 17 - i
Thus, the product of the two complex numbers (5 – 2i) and (3 + i) is 17 - i after using the distribution property the answer is 17 - i.
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ5
