Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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