Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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