Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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