Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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