Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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