Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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