Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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