Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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