Answer:
2q^2 - 4q + 2
Explanation:
I'm going to use the FOIL method. FOIL stands for First, Outer, Inner, Last, and is a method used to multiply two binomials.
1. we will start with the First term, which is (q-1) multiplied by itself. This gives us q^2 - 2q + 1.
2. we move on to the Outer term, which is (q-1) multiplied by (q-1). This gives us q^2 - 2q + 1.
3. The Inner term is (q-1) multiplied by q. This gives us q^2 - q.
4. we move on to the Last term, which is q multiplied by (q-1). This gives us q^2 - q.
Now that we have all four terms, we can add them together to get our final answer. Adding all four terms together gives us 2q^2 - 4q + 2. Therefore, the answer to (q-1)^2 is 2q^2 - 4q + 2.