Lettervormen herleiden

Hoofdmenu Eentje per keer  🖨

Herleid de lettervormen

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

---

Herleid de lettervormen

Verbetersleutel

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