Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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