Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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