Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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