Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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