Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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