Skillnad mellan versioner av "1.2 Lösning 7"

Från Mathonline
Hoppa till: navigering, sök
m
m
 
Rad 1: Rad 1:
 
<math> U_5(x) = 2\,x\,\cdot\,U_4(x)\,-\,U_3(x) = 2\,x\,\cdot\,(16\,x^4\,-\,12\,x^2\,+\,1)\,- </math>
 
<math> U_5(x) = 2\,x\,\cdot\,U_4(x)\,-\,U_3(x) = 2\,x\,\cdot\,(16\,x^4\,-\,12\,x^2\,+\,1)\,- </math>
  
::<math> \,-\,(8\,x^3\,-\,4\,x) = </math>
+
::<math> \,-\,(8\,x^3\,-\,4\,x) = 32\,x^5\,-\,24\,x^3\,+\,2\,x\,-\,8\,x^3\,+\,4\,x = </math>
  
::<math> = 32\,x^5\,-\,24\,x^3\,+\,2\,x\,-\,8\,x^3\,+\,4\,x = 32\,x^5\,-\,32\,x^3\,+\,6\,x </math>
+
::<math> = 32\,x^5\,-\,32\,x^3\,+\,6\,x </math>

Nuvarande version från 9 december 2010 kl. 00.56

\( U_5(x) = 2\,x\,\cdot\,U_4(x)\,-\,U_3(x) = 2\,x\,\cdot\,(16\,x^4\,-\,12\,x^2\,+\,1)\,- \)

\[ \,-\,(8\,x^3\,-\,4\,x) = 32\,x^5\,-\,24\,x^3\,+\,2\,x\,-\,8\,x^3\,+\,4\,x = \]
\[ = 32\,x^5\,-\,32\,x^3\,+\,6\,x \]