HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 212
Example 1, Example 2
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hp40g+.book Page 30 Friday, December 9, 2005 1:03 AM FDISTRIB LIN 14-30 Typing: EXP2POW(EXP(N · LN(X))) gives: xn 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): x3 + 6·x2 + 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)3) gives: 3·exp(x) + 1 + 3·exp(2·x) + exp(3·x) Example 2 Typing: LIN(COS(X)2) gives: Computer Algebra System (CAS)