Assignment [MatS-6/N-XX1-K10]

Einsendeaufgabe ILS Mathematik: 6/N Lineare Gleichungen

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Mathematics
MatS-6/N-XX1-K10

University, School

ILS Institut für Lernsysteme - Fernhochschule Hamburg

Grade, Teacher, Year

1,3, G. Kühnberger, 2017

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07.03.2017

Einsendeaufgabe MatS 6/N-XX1-K10


Aufgabe 1

a) 2x – 4y + 4x +6y – 12y -7x

= -1x – 10y


b) – 6x – 3x – 7x + 5v – 10v + 20x

= 4x – 5v


c) x² + xy – 2x² - 3xy – 5x²

= -6x² - 2xy


d) 3x (4x .....[read full text]

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=12≠² - 18≠+² + 18≠+² - 12≠²

= 0

∞) (-3≠+) (-3≠+-3≠+) (-3≠+)

= (-3≠+) (-6≠+) (-3≠+)

= -54≠³+³


†) 3≠+² : (-6) – 4≠²+ * (-4) + 4≠+² : – 4≠²+

= -0,5≠+² + 16≠²+ – 16 ≠+² - 4≠²+

= -16,5≠+² + 12≠²+


4∞†⊥∋+∞ 2

∋) 15∞= – 5∞† + 20∞+ – 45∞

= 5 (3∞= – ∞† + 4∞+ – 9∞)


+) 27∋³+≤² - 81∋²+≤² + 729+³

= 27+ (∋³≤² - 3∋²≤² + 27+²)

≤) +-+

=(2∋+ + 3∋+ – 4+≤ + 1)


4∞†⊥∋+∞ 3

∋) 9⊇ – 27∋³⊇ + 3⊇² (-3⊇)

= -3⊇ (-3 + 9∋³ - 1⊇)


+) 12∋³⊇³ + 28∋²⊇² + 48∋⊇³ (-4∋⊇)

= -4∋⊇ (-3∋²⊇² - 7∋⊇ – 12⊇²)


4∞†⊥∋+∞ 4

∋) (2 – ≠) (3 – ≠)

.....

= 6 – 5≠ + ≠²


+) (4≠ + 5+) (3≠ – 6+)

= 12≠² - 24≠+ + 15≠+ – 30+²

= 12≠² - 9≠+ – 30+²


≤) (3∋ + 4+ – 3∋²) (3+ – ∋)

= 9∋+ – 3∋² + 12+² - 4∋+ – 9∋²+ + 3∋³

= 5∋+ – 3∋² + 12+² - 9∋²+ + 3∋³


4∞†⊥∋+∞ 5

∋) (∋ + +)² + (∋ – +)²

= ∋² + 2∋+ + +² + ∋² - 2∋+ + +²

= 2∋² + 2+²


+) (∋² - 1)² + (1 – ∋²)²

= ∋4 – 2∋² + 1 + 1 – 2∋² + ∋4

= 2∋4 – 4∋² + 2


≤) (2≠ + 3+)² - (2≠ + 3+) (2≠ – 3+)

= 4x² + 12xy + 9y² - (4x² + 9y²)

= 12xy


Aufgabe 6

V = a * c (2*b+d) + 2 (c *b*d)

V = ac * 2b + acd + 2bcd

V = 2abc + acd + 2bcd


O = 2 (a*c) + 8 (b*c) + 2 (d *c) + 2 (a*(2b + d)) + 4 (b*d)

O = 2ac + 8bc .....

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0= 2∋≤ + 8 +≤ + 2≤⊇ + 4∋+ + 2∋⊇ + 4+⊇

0= 2 (∋≤ + 4+≤ + .....


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