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in this video Ill show you how to write an equation of a circle in general form the general form equation for a circle is shown here and question one reads write the equation X plus five squared plus y minus three squared is equal to sixteen in general form currently this equation is in standard form and to convert it from standard form to general form all you have to do is expand it so lets start off by expanding X plus five squared X plus five squared is the same thing as saying X plus 5 times X plus five so you have two binomials x times X is x squared x times five is five X and similarly five times X is 5x and five times five is 25 we have just expanded this part now well expand Y minus three y minus three to the power of two is the same thing as this expression y times y is y squared minus three Y minus three y plus nine combining these two like terms y squared minus 6y plus nine and the same thing can be said about these two middle terms that should become 10 X Im going to hi
