Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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