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im really excited today because i just learned a new way to factor this and i had never heard of before uh and its its super helpful usually factoring something like this is such its a pain um so let me show you the old way of doing this and then ill show you the new quicker way so before i would have done 6 times 2 is 12 and then i would have looked for factors of 12 that add to 7 so lets see 12 is 1 times 12 no that doesnt work 12 is also 2 times 6 dont think so 12 is 3 times 4. hey 3 plus 4 thats 7. okay thats what were going to go with and then i would have rewritten i would have rewritten 7x as 3x plus 4x and whenever im factoring with four terms we do factor by grouping so i would group these things this first term has a greatest common factor of 3x so ill factor that out and if i pull 3x out of 6x squared id be left with 2x 3x out of 3x thats 1. here the greatest common factor is just two so ill pull it two out uh two out of four x and thats gonna be two x two
