HP 40gs User Manual page 212

Graphing calculator
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FDISTRIB
LIN
14-30
Typing:
EXP2POW(EXP(N · LN(X)))
gives:
n
x
Distributivity
FDISTRIB has an expression as argument.
FDISTRIB enables you to apply the distributivity of
multiplication with respect to addition all at once.
Typing:
FDISTRIB((X+1)·(X+2)·(X+3))
gives:
x·x·x + 3·x·x + x·2·x + 3·2·x + x·x·1 + 3·x·1 + x·2·1
+ 3·2·1
After simplification (by pressing ENTER):
3
2
x
+ 6·x
+ 11·x + 6
Linearize the exponentials
LIN has as an argument an expression containing
exponentials and trigonometric functions. LIN does not
linearize trigonometric expressions (as does TLIN) but
converts a trigonometric expression to exponentials and
then linearizes the complex exponentials.
LIN puts the calculator into complex mode when dealing
with trigonometric functions.
Example 1
Typing:
LIN((EXP(X)+1)
gives:
3·exp(x) + 1 + 3·exp(2·x) + exp(3·x)
Example 2
Typing:
2
LIN(COS(X)
gives:
3
)
)
Computer Algebra System (CAS)

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