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Math problem - can you help?


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My daughter is studying for the ASVAB and ran across this problem:

 

(9,3) x (8,4)

 

Neither one of us could figure it out and googling resulted in more confusion.

 

How would we go about figuring this one out?

 

I have a vague memory of this, but it's been a long time. I googled "multiply ordered pairs" and found this.

(a,b) * (c,d) = (ac-bd,ad+bc)

 

so (72-12,36+24)

=(60,60)

But I can't explain it.

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