Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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