Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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