Lettervormen herleiden

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Herleid de lettervormen

  1. \(-2x+2xy-3x+4xy\)
  2. \(a+b+2a-2b-2a\)
  3. \(2x+xy-2x+3xy-x\)
  4. \(-xy-y-xy+y+2xy\)
  5. \(x-3y-3x-4y\)
  6. \(-x+xy+4x-2xy-x\)
  7. \(2xy+2y-3xy-y\)
  8. \(-a+3b+a+b-2a\)
  9. \(2a+2b+3a+2b\)
  10. \(a-2b+2a+3b\)
  11. \(-2x+8x^2+x\)
  12. \(2x+3xy+4x-4xy\)

Herleid de lettervormen

Verbetersleutel

  1. \(\begin{align}-2x+2xy-3x+4xy&=-2.x+2.xy-3.x+4.xy\\&=-2.x-3.x+2.xy+4.xy\\&=-5x+6xy\\\\ \end{align}\)
  2. \(\begin{align}a+b+2a-2b-2a&=1.a+1.b+2.a-2.b-2.a\\&=1.a+2.a-2.a+1.b-2.b\\&=a-b\\\\ \end{align}\)
  3. \(\begin{align}2x+xy-2x+3xy-x&=2.x+1.xy-2.x+3.xy-1.x\\&=2.x-2.x-1.x+1.xy+3.xy\\&=-x+4xy\\\\ \end{align}\)
  4. \(\begin{align}-xy-y-xy+y+2xy&=-1.xy-1.y-1.xy+1.y+2.xy\\&=-1.xy-1.xy+2.xy-1.y+1.y\\&=0xy+0y\\&=0\\ \end{align}\)
  5. \(\begin{align}x-3y-3x-4y&=1.x-3.y-3.x-4.y\\&=1.x-3.x-3.y-4.y\\&=-2x-7y\\\\ \end{align}\)
  6. \(\begin{align}-x+xy+4x-2xy-x&=-1.x+1.xy+4.x-2.xy-1.x\\&=-1.x+4.x-1.x+1.xy-2.xy\\&=2x-xy\\\\ \end{align}\)
  7. \(\begin{align}2xy+2y-3xy-y&=2.xy+2.y-3.xy-1.y\\&=2.xy-3.xy+2.y-1.y\\&=-xy+y\\\\ \end{align}\)
  8. \(\begin{align}-a+3b+a+b-2a&=-1.a+3.b+1.a+1.b-2.a\\&=-1.a+1.a-2.a+3.b+1.b\\&=-2a+4b\\\\ \end{align}\)
  9. \(\begin{align}2a+2b+3a+2b&=2.a+2.b+3.a+2.b\\&=2.a+3.a+2.b+2.b\\&=5a+4b\\\\ \end{align}\)
  10. \(\begin{align}a-2b+2a+3b&=1.a-2.b+2.a+3.b\\&=1.a+2.a-2.b+3.b\\&=3a+b\\\\ \end{align}\)
  11. \(\begin{align} -2x+8x^2+x&=-2.x+8.x^2+1.x\\&=-2.x+1.x+8.x^2\\&=-x+8x^2\\\\ \end{align}\)
  12. \(\begin{align}2x+3xy+4x-4xy&=2.x+3.xy+4.x-4.xy\\&=2.x+4.x+3.xy-4.xy\\&=6x-xy\\\\ \end{align}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 08:25:51