Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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