Appendix A: Functions and Instructions
817
Even when there is only one variable, using
var
might make the denominator factorization used
for partial fraction expansion more complete.
Hint:
For rational expressions,
propFrac()
is a
faster but less extreme alternative to
expand()
.
Note:
See also
comDenom()
for an expanded
numerator over an expanded denominator.
expand((x^3+x^2
ì
2)/(x^2
ì
2))
¸
2
ø
x
x
ñ ì
2
+
x+1
expand(ans(1),x)
¸
1
x
ì
‡
2
+
1
x+
‡
2
+
x+1
expand(
expression1,[var]
)
also distributes
logarithms and fractional powers regardless of
var
. For increased distribution of logarithms and
fractional powers, inequality constraints might be
necessary to guarantee that some factors are
nonnegative.
expand(
expression1, [var]
)
also distributes
absolute values,
sign()
, and exponentials,
regardless of
var
.
Note:
See also
tExpand()
for trigonometric
angle-sum and multiple-angle expansion.
ln(2x
ù
y)+
‡
(2x
ù
y)
¸
ln(2
ø
x
ø
y)
+
‡
(2
ø
x
ø
y)
expand(ans(1))
¸
ln(x
ø
y)
+
‡
2
ø
‡
(x
ø
y)
+
ln(2)
expand(ans(1))|y>=0
¸
ln(x)
+
‡
2
ø
‡
x
ø
‡
y
+
ln(y)
+
ln(2)
sign(x
ù
y)+abs(x
ù
y)+
e
^(2x+y)
¸
e
2
ø
x+y
+
sign(x
ø
y)
+
|x
ø
y|
expand(ans(1))
¸
sign(x)
ø
sign(y)
+
|x|
ø
|y|+
(
e
x
)
2
ø
e
y
expr()
MATH/String menu
expr(
string
)
⇒
⇒
⇒
⇒
expression
Returns the character string contained in
string
as
an expression and immediately executes it.
expr("1+2+x^2+x")
¸
x
ñ
+
x
+
3
expr("expand((1+x)^2)")
¸
x
ñ
+
2
ø
x
+
1
"Define cube(x)=x^3"
!
funcstr
¸
"Define cube(x)=x^3"
expr(funcstr)
¸
Done
cube(2)
¸
8
Summary of Contents for Voyage 200
Page 36: ...Getting Started 36 D B D B Press Result ...
Page 45: ...Getting Started 45 3 0 D B D D B D Press Result ...
Page 46: ...Getting Started 46 D 2 0 0 2 D B Scroll down to October and press Press Result ...
Page 60: ...Getting Started 60 B D Press Result ...
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Page 453: ...Differential Equation Graphing 453 ...
Page 468: ...Tables 468 ...
Page 777: ...Activities 777 ...
