Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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