Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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