HP 40gs User Manual page 239

LCM
LEGENDRE
PARTFRAC
Computer Algebra System (CAS)
Returns the LCM (Least Common Multiple) of two
polynomials.
Example
Typing:
2
LCM(X + 2·X + 1, X
gives:
2
( ) ⋅
x + 2x + 1
Returns the polynomial L
differential equation:
2
( ) y" ⋅
x – 1 –
where n is a whole number.
Example
Typing:
LEGENDRE(4)
gives:
4 2
⋅ ⋅
35 x – 30 x
----------------------------------------------
8
Returns the partial fraction decomposition of a rational
fraction.
Example
Typing:
⎛
----------------------------------------------------------- -
⎜
ARTFRAC
4
⎝
X
gives, in real and direct mode:
x 3 –
-----------------
x + + 2
2
2x + 2
and gives, in complex mode:
1 3 i ⋅
–
----------------- -
4
----------------- -
x + + 2
x + i
2
– 1)
( )
x 1 –
, a non-null solution of the
n
⋅ ⋅ ( ) y ⋅
2 x y' n n – + 1
+ 3
5 3
X – 2X + 1
3 2
– 2X + 2X – 2X +
1 –
-------------- -
+
2x 2 –
3 i ⋅
1 – 1 +
----- - ----------------- -
2 4
---------- - ------------------
+ +
x 1 – x i –
= 0
1
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