How to perform formula operation on the equation?
1.How to formulate a formula that contains only one parameter?
1/4 m^2 + m + 5
How to get:
1/4 (m + 2)^2 + 4
2.How to formulate a formula that contains two parameter?
59 - 4 x + x^2 + 16 y + y^2
how to get:
(x - 2)^2 + (y + 8)^2 - 9
For the first one
expr = 1/4* m^2 + m + 5;
ResourceFunction["CompleteSquare"][expr, m]
For the second one, the above ResourceFunction does not work since it only supports one variable. But you can use
expr = 59 - 4 x + x^2 + 16 y + y^2;
CompleteTheSquare[expr, {x, y}]
Where the above function is in the answer by Simon in this post Defining a function that completes the square given a quadratic polynomial expression
expr = 59 - 4 x + x^2 + 16 y + y^2; CompleteTheSquare[expr, {x, y}]This code does not calculate the answer
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