Question

by taking x is equal to minus 6 upon 5 y is equal to 3/7 and z is equal to 1/3 verify x multiply y = y multiply x​

Answer 1

3 + 2i)(1 + 4i) = 3 + 12i + 2i + 8i2.

Now the 12i + 2i simplifies to 14i, of course. What about the 8i2? Remember we introduced i as an abbreviation for √–1, the square root of –1. In other words, i is something whose square is –1. Thus, 8i2 equals –8. Therefore, the product (3 + 2i)(1 + 4i) equals –5 + 14i.

If you generalize this example, you’ll get the general rule for multiplication

(x+yi)(u+vi) = (xu=yv)+(xv+yu)i

Remember that (xu – yv), the real part of the product, is the product of the real parts minus the product of the imaginary parts, but (xv + yu), the imaginary part of the product, is the sum of the two products of one real part and the other imaginary part.

Let’s look at some special cases of multiplication.

I hope you are understand my solution