Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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