Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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