Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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