Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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