Lettervormen herleiden

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Herleid de lettervormen

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

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Herleid de lettervormen

Verbetersleutel

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