Texas Instruments voyage 200 User Manual - Page 815
absolute values, necessary to guarantee that some factors are - partial fraction
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UPC - 033317193424
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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^2ì 2)/(x^2ì 2)) ¸ 2ø x xñ ì 2 + x+1 expand(ans(1),x) ¸ 1 xì ‡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(2xù y)+‡(2xù y) ¸ ln(2ø xø y) + ‡(2ø xø y) expand(ans(1)) ¸ ln(xø y) + ‡2ø ‡(xø y) + ln(2) expand(ans(1))|y>=0 ¸ ln(x) + ‡2ø ‡xø ‡y + ln(y) + ln(2) sign(xù y)+abs(xù y)+ e^(2x+y) ¸ e2ø x+y + sign(xø y) + |xø y| expand(ans(1)) ¸ sign(x)øsign(y) + |x|ø|y|+ (ex)2øey 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") ¸ xñ + x + 3 expr("expand((1+x)^2)") ¸ xñ + 2ø x + 1 "Define cube(x)=x^3"! funcstr ¸ "Define cube(x)=x^3" expr(funcstr) ¸ Done cube(2) ¸ 8 Appendix A: Functions and Instructions 817
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