Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

1. \(\begin{align}x-y-x-4y&=1.x-1.y-1.x-4.y\\&=1.x-1.x-1.y-4.y\\&=0x-5y\\&=-5y\\ \end{align}\)
2. \(\begin{align}2x+3y+3x-3y+2x&=2.x+3.y+3.x-3.y+2.x\\&=2.x+3.x+2.x+3.y-3.y\\&=7x+0y\\&=7x\\ \end{align}\)
3. \(\begin{align}x-y+2x+y&=1.x-1.y+2.x+1.y\\&=1.x+2.x-1.y+1.y\\&=3x+0y\\&=3x\\ \end{align}\)
4. \(\begin{align}2p+q-2p-q&=2.p+1.q-2.p-1.q\\&=2.p-2.p+1.q-1.q\\&=0p+0q\\&=0\\ \end{align}\)
5. \(\begin{align}-p+2q+4p-q-2p&=-1.p+2.q+4.p-1.q-2.p\\&=-1.p+4.p-2.p+2.q-1.q\\&=p+q\\\\ \end{align}\)
6. \(\begin{align}-x+2xy-4x+xy&=-1.x+2.xy-4.x+1.xy\\&=-1.x-4.x+2.xy+1.xy\\&=-5x+3xy\\\\ \end{align}\)
7. \(\begin{align}-x-3y+2x-y&=-1.x-3.y+2.x-1.y\\&=-1.x+2.x-3.y-1.y\\&=x-4y\\\\ \end{align}\)
8. \(\begin{align} -3c-2c^2-c&=-3.c-2.c^2-1.c\\&=-3.c-1.c-2.c^2\\&=-4c-2c^2\\\\ \end{align}\)
9. \(\begin{align}2x+3xy-4x-2xy-x&=2.x+3.xy-4.x-2.xy-1.x\\&=2.x-4.x-1.x+3.xy-2.xy\\&=-3x+xy\\\\ \end{align}\)
10. \(\begin{align}-2xy+y+xy+y&=-2.xy+1.y+1.xy+1.y\\&=-2.xy+1.xy+1.y+1.y\\&=-xy+2y\\\\ \end{align}\)
11. \(\begin{align}x+y+x-4y&=1.x+1.y+1.x-4.y\\&=1.x+1.x+1.y-4.y\\&=2x-3y\\\\ \end{align}\)
12. \(\begin{align}-2xy+3y+3xy-2y&=-2.xy+3.y+3.xy-2.y\\&=-2.xy+3.xy+3.y-2.y\\&=xy+y\\\\ \end{align}\)