Question

Z1=4+i z2=2+i найти z1*z2

Answer 1

(4+i)(2+i)=8+4i+2i-1=7+6i

Answer 2

To find the product of two complex numbers, you simply multiply their real and imaginary parts separately. Given that:

z1 = 4 + i z2 = 2 + i

Let's calculate z1 * z2:

z1 * z2 = (4 + i) * (2 + i)

Using the distributive property of multiplication over addition, we can expand this:

z1 * z2 = 4 * 2 + 4 * i + i * 2 + i * i

Now, remember that i^2 is equal to -1:

z1 * z2 = 8 + 4i + 2i - 1

Combine like terms:

z1 * z2 = 7 + 6i

So, the product of z1 and z2 is 7 + 6i.