Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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