This week, in my opinion, I learned a lot of new things. One of these things was learning how to simplify and evaluate a question with a number, and then two binomials in their own specific brackets. For example, 2(4x-3) (3x-4). For this equation, I would do 2 x 4x which would give me an 8x. Next, I would do the 2 x -3 which would give me an answer of -6. Next, I would re-write my formula, to make sure I am fully showing my work. This would be (8x -6) (3x-4). Following this step, I would use the “FOIL” to help me further simplify and to find the correct answer. FOIL represents “first, outside, inside, last). By doing this, the rest of the question is rather easy, if you use FOIL, that is. I would start by doing 8x times 3x, which would give me 24x². Next, I would do the “outside” which is 8x times -4. I get an answer of -32x. Following this, I would do the inside, which would be -6 times 3x, and the answer would be -18x. Lastly, I would do the “last questions of the terms. It would be -6 times -4, where the answer is 24. When I am done doing all of the steps above, I would put all the like terms together to further simplify. That would be, 24x²-50x+24.