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| author | version | line-number | content |
|---|---|---|---|
| 1 | {{box cssClass="floatinginfobox" title="**Contents**"}} | ||
| 2 | {{toc start=2 depth=2 /}} | ||
| 3 | {{/box}} | ||
| 4 | |||
| 5 | == Allgemeines == | ||
| 6 | |||
| 7 | === Aufgabe 1 === | ||
| 8 | |||
| 9 | Handelt es sich um eine Summe, ein Produkt oder eine Potenz? | ||
| 10 | |||
| 11 | a) {{formula}} 2 \cdot a + 3 {{/formula}} | ||
| 12 | |||
| 13 | b) {{formula}} 2 \cdot (a + 3) {{/formula}} | ||
| 14 | |||
| 15 | c) {{formula}} 2 \cdot a^3 {{/formula}} | ||
| 16 | |||
| 17 | d) {{formula}} 2^{(a + 3)} {{/formula}} | ||
| 18 | |||
| 19 | {{tags afb="I" operatoren="nennen" quelle="KMap" lizenz="CC BY-SA"/}} | ||
| 20 | |||
| 21 | === Aufgabe 2 === | ||
| 22 | |||
| 23 | |||
| 24 | Lalala | ||
| 25 | |||
| 26 | {{tags afb="II" operatoren="begründen" quelle="KMap" lizenz="CC BY-SA"/}} | ||
| 27 | |||
| 28 | === Aufgabe 3 === | ||
| 29 | |||
| 30 | Fasse zusammen! | ||
| 31 | |||
| 32 | a) {{formula}} 3a - 2 \cdot (a - 5b) {{/formula}} | ||
| 33 | |||
| 34 | b) {{formula}} (2a - 4b):2 + 3a + b {{/formula}} | ||
| 35 | |||
| 36 | {{tags afb="I" operatoren="rechnen" quelle="Serlo" lizenz="CC BY-SA"/}} | ||
| 37 | |||
| 38 | == Potenzen == | ||
| 39 | |||
| 40 | == Wurzeln == | ||
| 41 | |||
| 42 | == Brüche == | ||
| 43 | |||
| 44 | == Zusammenfassen == | ||
| 45 | |||
| 46 | === Aufgabe 1 === | ||
| 47 | |||
| 48 | Löse die Klammern auf und fasse zusammen! | ||
| 49 | |||
| 50 | a) {{formula}} -(a-b) + 1 -(a-b) + 2a - 2b {{/formula}} | ||
| 51 | |||
| 52 | b) {{formula}} \frac{2}{3}a + \frac{b}{6} - \frac{a}{3} + \frac{-b}{3} {{/formula}} | ||
| 53 | |||
| 54 | c) {{formula}} a + 2ab + b -2a - ab {{/formula}} | ||
| 55 | |||
| 56 | {{tags afb="I" operatoren="rechnen" quelle="KMap" lizenz="CC BY-SA"/}} | ||
| 57 | |||
| 58 | == Ausmultiplizieren == | ||
| 59 | |||
| 60 | === Aufgabe 1 === | ||
| 61 | |||
| 62 | Multipliziere aus und fasse ggf. zusammen! | ||
| 63 | |||
| 64 | a) {{formula}} (a+b)(a-b) {{/formula}} | ||
| 65 | |||
| 66 | b) {{formula}} -(a + 2) (b - 2) {{/formula}} | ||
| 67 | |||
| 68 | c) {{formula}} \frac{2}{3} (9a-6b) {{/formula}} | ||
| 69 | |||
| 70 | {{tags afb="I" operatoren="nennen" quelle="KMap" lizenz="CC BY-SA"/}} | ||
| 71 | |||
| 72 | == Ausklammern == | ||
| 73 | |||
| 74 | == Binome == | ||
| 75 | |||
| 76 | === Aufgabe 1 === | ||
| 77 | |||
| 78 | Berechne mit Hilfe der binomischen Formeln! | ||
| 79 | |||
| 80 | a) {{formula}} ( a+ 3 )^{2}= {{/formula}} | ||
| 81 | |||
| 82 | b) {{formula}} -(a + 2) (a - 2)= {{/formula}} | ||
| 83 | |||
| 84 | c) {{formula}} ( 2a- 4 )^{2}= {{/formula}} | ||
| 85 | |||
| 86 | {{tags afb="I" operatoren="rechnen" quelle="KMap" lizenz="CC BY-SA"/}} |