Lettervormen herleiden

Hoofdmenu Eentje per keer  🖨

Herleid de lettervormen

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

---

Herleid de lettervormen

Verbetersleutel

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