Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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