Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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