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2.1 Monome und Polynome

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Mathe für die Berufsmaturität Mathematik 1-3 (Promath) (Kapitel 2 - Grundlagen der Algebra) Quiz on 2.1 Monome und Polynome, created by Christine Gna on 05/05/2025.
Christine Gna
Quiz by Christine Gna, updated 5 months ago
Christine Gna
Created by Christine Gna 5 months ago
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Resource summary

Question 1

Question
Berechne und vereinfache a+b+c+a+b-c
Answer
  • 2a+ab
  • 2a-c
  • 2a+ab-c

Question 2

Question
Berechne und vereinfache 2x+3y+3x-2y
Answer
  • 5x+y
  • 5x-y
  • -5x+y

Question 3

Question
Berechne und vereinfache -6x+9x-10y-20y
Answer
  • 3x-30y
  • -3x-30y
  • 3x+30y

Question 4

Question
Berechne und vereinfache 4x²-4+3x²-1
Answer
  • 7x²-5
  • -7x²+5
  • 7x²+5

Question 5

Question
Berechne und vereinfache 8ab-a²+b²-8ab
Answer
  • -a²+b²
  • a²-b²
  • 8ab-a²+b²

Question 6

Question
Berechne und vereinfache -x-(5x-9)
Answer
  • 9-6x
  • 9+6x
  • -9-6x

Question 7

Question
Berechne und vereinfache 12a-(-3b-12c)
Answer
  • 12a+3b+12c
  • 12a-3b-12c
  • -12a+3b+12c

Question 8

Question
Berechne und vereinfache -[16x-(-16x-1)]
Answer
  • -32x-1
  • 32x-1
  • 32x+1

Question 9

Question
Berechne und vereinfache 1-(x-y-1)
Answer
  • 2-x+y
  • 2-x-y
  • 2+x-y

Question 10

Question
Berechne und vereinfache (3x²-4x)-(12x-x³)
Answer
  • x³+3x²-16x
  • x³-3x²-16x
  • x³-3x²+16x

Question 11

Question
(3x-1)(4x²-5x+6)
Answer
  • 12x³-19x²+23x-6
  • 12x³+19x²-23x+6
  • 12x³+19x²+23x-6

Question 12

Question
(y+1)(y²-y-1)
Answer
  • y³-2y-1
  • y²-2y-1
  • y³+2y-1

Question 13

Question
(x²-x+1)(x²-x-1)
Answer
  • x⁴-2x³+x²-1
  • x⁴+2x³-x²+1
  • x⁴-2x³-x²-1

Question 14

Question
y(y+1)(y²+y+1)
Answer
  • y⁴+2y³+2y²+y
  • y⁴-2y³+2y²-y
  • y⁴+2y³-2y²+y

Question 15

Question
(x⁸+8)(x⁶+11)
Answer
  • x¹⁴+11x⁸+8x⁶+88
  • x¹⁴-11x⁸+8x⁶-88
  • x¹⁴+11x⁸-8x⁶+88

Question 16

Question
(x-2)(x-3)(x-4)
Answer
  • x³-9x²+2bx-24
  • x³+9x²-2bx+24
  • x³-9x²-2bx-24

Question 17

Question
-2(3x-5)(x-3)
Answer
  • -6x²+28x-30
  • 6x²+28x-30
  • 6x²-28x+30

Question 18

Question
(x²-x)(x³-x)
Answer
  • x⁵-x⁴-x³+x²
  • x⁵+x⁴+x³-x²
  • x⁵-x⁴-x³-x²

Question 19

Question
(2a^2m + 3a^m-1)(2a^2m+1 - a^m)
Answer
  • 4a^4m+1 + 4a^3m - 3a^2m-1
  • 4a^4m-1 + 4a^2m - 3a^2m+1
  • 4a^4m-1 - 4a^3m + 3a^2m+1

Question 20

Question
(120-5Q)Q+(200-20V)V-(35+40Q+40V)
Answer
  • 80Q-5Q²+160V-20V²-35
  • 80Q+5Q²-160V+20V²+35
  • 80Q-5Q²-160V-20V²-35

Question 21

Question
e^-t (A - t^t + e^t) - A^-t
Answer
  • 1-t
  • 1+t
  • t

Question 22

Question
P(1+i)[1+(1+i)+(1+i)²+(1+i)³]
Answer
  • 4P+10iP+10i²P+5i³P+i⁴P
  • 4P+10iP-10i²P+5i³P-i⁴P
  • 4P+10i⁶P+10i²P+5i³P+i⁴P

Question 23

Question
(3x²+2y²+3z²)(4x²+5y²-6z²)
Answer
  • 12x²+23x²y²-6x²z²+10y⁴+3²z²-18z⁴
  • 12x²-23x²y²+6x²z²-10y⁴-3²z²+18z⁴
  • 12x²-23x²y²-6x²z²-10y⁴-3²z²-18z⁴

Question 24

Question
(4a²+2ab+b²)(2a-b)
Answer
  • 8a³-b³
  • 8a³+b³
  • -8a³-b³

Question 25

Question
15a²+24b²-(3a+2b)(5a+6b)
Answer
  • -28ab+12b²
  • 28ab+12b²
  • -28ab-12b²

Question 26

Question
(y^n-1-z)²
Answer
  • y²x^2n-2 - 2yzx^n-1 + z²
  • y²x^2n-2 + 2yzx^n-1 - z²
  • y²x^2n-2 - 2yzx^n-1 - z²
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