Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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