Answer: 136
Step-by-step explanation:
First, we need to find the conjugate before we can find the product of the conjugate and 6-10i.
The conjugate is the binomial with an opposite sign.
6+10i
Now that we have our conjugate, we can find the product.
(6-10i)(6+10i) [distribute the factors, FOIL method]
36+60i-60i-100i² [combine like terms]
36-100i² [i²=-1]
36-100(-1) [multiply and subtract]
36+100=136
Our product is 136.
