Lettervormen herleiden

Hoofdmenu Eentje per keer  🖨

Herleid de lettervormen

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

---

Herleid de lettervormen

Verbetersleutel

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