A-4: Algebraic Expressions and Operations
Complete the squares in 3 x2−5 y2+7 x+4 y−9.
3 x2−5 y2+7 x+4 y−9
Maple Solution - Interactive
Although the Context Panel contains the Complete Square option, it operates on one variable at a time. Hence, it has to be invoked twice. The underlying command, however, admits syntax wherein the square can be completed in more than one variable with but a single call to the function. This more powerful version can be accessed if the Student Precalculus package is first loaded.
Tools≻Load Package: Student Precalculus
Complete the square in both variables
Control-drag (or type) the given expression.
Context Panel: Student Precalculus≻Complete the Square≻All Variables
3 x2−5 y2+7 x+4 y−9→complete square−5⁢y−252+3⁢x+762−73760
Maple Solution - Coded
Assign the polynomial to q.
q≔3 x2−5 y2+7 x+4 y−9
Apply the CompleteSquare command from the Student Precalculus package.
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