HP 40gs - Page 195

Computer Algebra System (CAS) 14-13
In real mode, the result is:
In complex mode (using CFG), the result is:
PARTFRAC Partial fraction expansion
PARTFRAC has a rational fraction as an argument.
PARTFRAC returns the partial fraction decomposition of
this rational fraction.
Example
To perform a partial fraction decomposition of a rational
function, such as:
you use the PARTFRAC command.
In real and direct mode, this produces:
In complex mode, this produces:
QUOTE Quoted expression
QUOTE(expression) is used to prevent an expression
from being evaluated or simplified.
Example 1
Typing:
gives:
+∞
x
2
2 x⋅ 1++()x
2
2 x⋅ 1+–()⋅
1
16
------
2x 1 i+()2⋅+()2x 1 i+()–2⋅()2x 1 i–()+2⋅()
2x 1 i–()–2⋅()
⋅⋅⋅
⋅
x
5
2– x
3
1+⋅
x
4
2– x
3
⋅ 2+ x
2
2 x 1+⋅()–⋅
-------------------------------------------------------------------------
x 2
x 3–
2 x
2
⋅ 2+
----------------------
1–
2 x⋅ 2–
-------------------
++ +
x 2
13i–
4
--------------
xi+
--------------
1–
2
------
x 1–
-----------
13i+
4
--------------
xi–
--------------
++ + +
i
m QUOTE 2X 1–()( EXP(
1
X
---
1 )–⋅ X +∞=,
⎝
⎠
⎛
⎞
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