Lettervormen herleiden

Hoofdmenu Eentje per keer  🖨

Herleid de lettervormen

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

---

Herleid de lettervormen

Verbetersleutel

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