Übungsblatt 3

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Mathe für die Berufsmaturität Mathematik 1-3 (Promath) (Übungsblätter Mathematik 1) Quiz on Übungsblatt 3, 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
Klammere aus 1−2x+3y =?
Answer
  • -1(-1+2x-3y)
  • −1(−1−2x−3y)
  • −1(1−2x+3y)

Question 2

Question
Klammere aus 3a²b − 2a − b (3a − b) + a (2a − 3b) =?
Answer
  • -1(-3a²b+2a+b(3a-b)-a(2a-3b))
  • -1(3a²b-2a-b(3a+b)+a(2a+3b))
  • -1(-3a²b+2a+b(3a+b)-a(2a+3b))

Question 3

Question
Klammere aus (2u² −3u+4)(u²+4u-1)
Answer
  • -1(2u²-3u+4)(-u²-4u+1)
  • -1(2u²+3u-4)(u²+4u-1)
  • -1(2u²+3u+4)(-u²+4u+1)

Question 4

Question
Faktorisiere 4a²-4a+1
Answer
  • (2a-1)²
  • (2a-1)(2a+1)
  • (2a+1)²

Question 5

Question
Faktorisiere 4a²c-8ab+4a²-8abc
Answer
  • 4a(ac-2b+a-2bc)
  • 4a(ac+2b-a+2bc)
  • 4a(ac+2b+a+2bc)

Question 6

Question
Faktorisiere a⁸-16
Answer
  • (a²-2)(a²+2)(a⁴+4)
  • (a²+2)(a²-2)(a⁴+4)
  • (a²-2)(a²-2)(a⁴-4)

Question 7

Question
Faktorisiere (5x²-25x)-(2y-3)(2x-10)-5+x
Answer
  • (x-5)(5x-4y+7)
  • (x+5)(5x-4y+7)
  • (x+5)(5x-4y-7)

Question 8

Question
Faktorisiere 4u⁸v³-28u⁷v⁴+48u⁶v⁵
Answer
  • 4u⁶v³(u-3v)(u-4v)
  • 4u⁶v³(u+3v)(u-4v)
  • 4u⁶v³(u-3v)(u+4v)

Question 9

Question
Faktorisiere ad-ae-bd+be-cd+ce
Answer
  • (d-e)(a-b-c)
  • (d+e)(a-b-c)
  • (d-e)(a-b+c)

Question 10

Question
Faktorisiere x³+2x²-15x
Answer
  • x(x+5)(x-3)
  • x(x-5)(x+3)
  • x(x-5)(x-3)

Question 11

Question
Faktorisiere 8u²v²w²-12uv³w-4u²v³
Answer
  • 4uv²(2uw²-3vw-uv)
  • 4uv²(2uw²+3vw-uv)
  • 4uv²(2uw²-3vw+uv)

Question 12

Question
Faktorisiere 2a-4b+ax-2bx-3ay+6by
Answer
  • (a-2b)(2+x-3y)
  • (a+2b)(2-x+3y)
  • (a+2b)(2+x-3y)

Question 13

Question
Faktorisiere 16-9u²+6uv-v²
Answer
  • (4-3u+v)(4+3u-v)
  • (4+3u-v)(4-3u+v)
  • (4-3u+v)(4-3u-v)

Question 14

Question
Faktorisiere 3ab+a-6b-2
Answer
  • (3b+1)(a-2)
  • (3b-1)(a+2)
  • (3b-1)(a-2)

Question 15

Question
Faktorisiere x⁴-13x²+36
Answer
  • (x-3)(x+3)(x-2)(x+2)
  • (x+3)(x-3)(x+2)(x12)
  • (x-3)(x-3)(x-2)(x-2)

Question 16

Question
Faktorisiere (x+5)(y-1)+(4-x-x²)(1-y)-y+1
Answer
  • x(x+2)(y-1)
  • x(x-2)(y+1)
  • x(x-2)(y-1)

Question 17

Question
Faktorisiere 44x⁴y+132x³y²+99x²y³
Answer
  • 11x²y(2x+3y)²
  • 11x²y(2x-3y)²
  • 11x²y(-2x+3y)²

Question 18

Question
Faktorisiere 3ef+9eh-6f-18h
Answer
  • 3(f+3h)(e-2)
  • 3(f-3h)(e+2)
  • 3(f-3h)(e-2)

Question 19

Question
Faktorisiere 1-4x+4x²-16y²
Answer
  • (1-2x-4y)(1-2x+4y)
  • (1+2x-4y)(1-2x+4y)
  • (1-2x+4y)(1-2x+4y)
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