Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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