Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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