Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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