Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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