Lettervormen herleiden

Hoofdmenu Eentje per keer  🖨

Herleid de lettervormen

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

---

Herleid de lettervormen

Verbetersleutel

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