Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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