Question: This problem is about multiplying complex numbers. a. Show me how to multiply A=(1-2i)*(1+i) by using the distributive law. Then use geometry (and maybe some

This problem is about multiplying complex numbers. a. Show me how to multiply A=(1-2i)*(1+i) by using the distributive law. Then use geometry (and maybe some trigonometry) to explain how you could know which quadrant A would be in without actually doing the multiplication out. (You will definitely find it helpful to graph 1+i and 1-2i in the complex plane.) b. Find a complex number w for which w*(1+i) is a negative integer. Explain your process, and show me a picture of the situation. C. Find a complex number z for which z^5 is in Quadrant II. Explain your process, and show me a picture of the situation
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