Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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