Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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