This week in math we learned how to use patterns to quickly mentally answer simple binomials. Here is an example:

(x+8)(x+2)–>x²+10x+16

(x-6)(x-2)–>x²-8x+12

(x-3)(x+9)–>x²+6x-27

(x+4)(x-7)–>x²-3x-28

If you haven’t picked up the pattern yet, here is a written explanation. To get the answer you take the second term of each binomial and add them together, which is attached to x. You use the same numbers (second term of each binomial) and multiply them together (remember, negative multiplied by anything will result in a negative) and that number will be the constant.

This trick, or pattern, is useful because you don’t have to write out the entire equation and then simplify it, you can just quickly do it in your head within seconds.