Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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