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all right so heres a quick video on vertex to standard defactor forms and then going backwards by completing the square first off the top problems the best thing to do is to expand it out so y is x squared minus 10 x plus 25 plus two right weve got the square changing shape this square becomes this and if were going to keep it going weve got x squared minus 10 x plus 27 and im realizing right now i may not have written problems that can factor this one for example theres nothing that multiplies to 27 but adds to negative 10. so this one wont factor but it can get from vertex to standard form right here so in the other one same thing if were making standard form were going to multiply out this square x squared plus 12 x plus 36 and then were going to take off the 10. that just comes down weve got a square rewritten and it combines to be x squared plus 12 x plus 26 and again theres nothing thats going to multiply to 26 and add up to 12 so this one also will not factor so i g