Lettervormen herleiden

Hoofdmenu Eentje per keer  🖨

Herleid de lettervormen

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

---

Herleid de lettervormen

Verbetersleutel

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