Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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