Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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