Skillnad mellan versioner av "1.5 Lösning 2a"

Versionen från 6 juli 2015 kl. 20.02

\( \, (2 \cdot 3)\,^2 \, = \, (\,6\,)\,^2 \, = \, 6\,^2 \, = \, 6 \cdot 6 \, = \, 36 \, \)

\( \, 2\,^2 \cdot 3\,^2 \, = \, 2 \cdot 2 \, + \, 3 \cdot 3 \, = \, 4 \cdot 9 \, = \, 36 \, \)

\[ \;\;\, 36 \quad = \quad 36 \, \]

\( \; \Downarrow \)

\[ \, (2 \cdot 3)\,^2 \; = \; 2\,^2 \cdot 3\,^2 \, \]

\( \; \Downarrow \)

SANT

@@ Rad 1: / Rad 1: @@
-<math> \, (3+4)\,^2 \, = \, (\,7\,)\,^2 \, = \, 7\,^2 \, = \, 7 \cdot 7 \, = \, 49 \, </math>
+<math> \, (2 \cdot 3)\,^2 \, = \, (\,6\,)\,^2 \, = \, 6\,^2 \, = \, 6 \cdot 6 \, = \, 36 \, </math>
-<math> \, 3\,^2 + 4\,^2 \, = \, 3 \cdot 3 \, + \, 4 \cdot 4 \, = \, 9 \, + \, 16 \, = \, 25 \, </math>
+<math> \, 2\,^2 \cdot 3\,^2 \, = \, 2 \cdot 2 \, + \, 3 \cdot 3 \, = \, 4 \cdot 9 \, = \, 36 \, </math>
-:::::<math> \;\;\, 49 \quad \neq \quad 25 \, </math>
+:::::<math> \;\;\, 36 \quad = \quad 36 \, </math>
 ::::::<big><math> \; \Downarrow </math></big>
-::::<math> \, (3+4)\,^2 \; \neq \; 3\,^2 + 4\,^2 \, </math>
+::::<math> \, (2 \cdot 3)\,^2 \; = \; 2\,^2 \cdot 3\,^2 \, </math>
 ::::::<big><math> \; \Downarrow </math></big>
-:::::&nbsp;&nbsp;FALSKT
+:::::&nbsp;&nbsp;SANT