Lettervormen herleiden

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Herleid de lettervormen

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

Herleid de lettervormen

Verbetersleutel

  1. \(\begin{align} -3c-5c^2-2c&=-3.c-5.c^2-2.c\\&=-3.c-2.c-5.c^2\\&=-5c-5c^2\\\\ \end{align}\)
  2. \(\begin{align}-2xy+2y-2xy-3y&=-2.xy+2.y-2.xy-3.y\\&=-2.xy-2.xy+2.y-3.y\\&=-4xy-y\\\\ \end{align}\)
  3. \(\begin{align} -4x+4x^2-2x&=-4.x+4.x^2-2.x\\&=-4.x-2.x+4.x^2\\&=-6x+4x^2\\\\ \end{align}\)
  4. \(\begin{align} -p+4p^2+2p&=-1.p+4.p^2+2.p\\&=-1.p+2.p+4.p^2\\&=p+4p^2\\\\ \end{align}\)
  5. \(\begin{align}-2p+q+2p-3q&=-2.p+1.q+2.p-3.q\\&=-2.p+2.p+1.q-3.q\\&=0p-2q\\&=-2q\\ \end{align}\)
  6. \(\begin{align}xy+2y+xy+2y-2xy&=1.xy+2.y+1.xy+2.y-2.xy\\&=1.xy+1.xy-2.xy+2.y+2.y\\&=0xy+4y\\&=4y\\ \end{align}\)
  7. \(\begin{align}-2a-3b+3a+4b&=-2.a-3.b+3.a+4.b\\&=-2.a+3.a-3.b+4.b\\&=a+b\\\\ \end{align}\)
  8. \(\begin{align}x+3y-2x+3y&=1.x+3.y-2.x+3.y\\&=1.x-2.x+3.y+3.y\\&=-x+6y\\\\ \end{align}\)
  9. \(\begin{align} -2q-q^2-q&=-2.q-1.q^2-1.q\\&=-2.q-1.q-1.q^2\\&=-3q-q^2\\\\ \end{align}\)
  10. \(\begin{align}-x-3y+x+y+x&=-1.x-3.y+1.x+1.y+1.x\\&=-1.x+1.x+1.x-3.y+1.y\\&=x-2y\\\\ \end{align}\)
  11. \(\begin{align}-2x-2y+4x+y+x&=-2.x-2.y+4.x+1.y+1.x\\&=-2.x+4.x+1.x-2.y+1.y\\&=3x-y\\\\ \end{align}\)
  12. \(\begin{align}-a-2b-3a+2b-a&=-1.a-2.b-3.a+2.b-1.a\\&=-1.a-3.a-1.a-2.b+2.b\\&=-5a+0b\\&=-5a\\ \end{align}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2021-12-02 02:32:15