This week in math, I learned how to master the distributive law and to determine the expansion of the expression. Originally I thought that I would do good on my test, but didn’t do as well as i hoped to. Doing the distributive law was one of my difficulties and after I got my test mark back, i realized this one was one of my weaknesses. I am going to show you how to use the distributive law. If my question is (x-4) (x² – 6x +3), I would start “distributing” the x into the x², 6x and 3. Following this, I would then put my 4 into the x², 6x and 3. Now, on my paper or whatever I am doing the question on, i should have two lines that look like x³, 6x² and 3x. My second line should look like -4x², 24x and -12. After simplifying these two brackets or terms, I need to simplify all of my numbers and variables to the simplest form. So, my final question now should be looking like x³ -10x² -27x -12. In other words, I am really just putting all the differences and multiplying them with their respective numbers and variables.

Here is a visual of the question.