A-4: Algebraic Expressions and Operations
Express the difference x2−xx3−x−x2−1x2+x as a single fraction.
Maple Solution - Interactive
Control-drag (or type) the given expression.
Context Panel: Simplify≻Simplify
x2−xx3−x−x2−1x2+x= simplify −x2−x−1x⁢x+1
Context Panel: Normal
Maple Solution - Stepwise and Annotated
The Maple-generated simplification below might not follow the optimal path vis-a-vis a more direct approach where x is factored first, and then the difference of squares is factored. However, the Maple calculation is included as an illustration of what its new code produces.
Tools≻Load Package: Student Basics
Control-drag the given expression.
Context Panel: Student Basics≻Expand Steps
x2−xx3−x−x2−1x2+x= expand steps x2+−1⁢xx3+−1⁢x+−1⁢x2−1x2+x=x⁢x−1·1x⁢x−1⁢x+1+−1⁢x2−1x2+xfactor=1x+1+−1⁢x2−1x2+xdivide=1x+1+−1⁢x2+−1⁢−1x2+xdistributive multiply=1x+1+−x2+1x2+xmultiply constants=1x+1+x+1⁢−x+1x+1⁢xfactor=1x+1+−x+1xdivide
Apply a final simplification
Control-drag the final result.
1x+1+−x+1x= simplify −x2−x−1x⁢x+1
The astute reader will note that the annotated stepwise solution does not terminate in the "final form" of a single fraction. For that, the right-hand side of the final equality must be dragged to a new Document Block, and subjected to a simplification.
Maple Solution - Coded
Assign the given expression to q1.
Apply the simplify command or the normal command.
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