Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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