Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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