Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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