Lettervormen herleiden

Hoofdmenu Eentje per keer  🖨

Herleid de lettervormen

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

---

Herleid de lettervormen

Verbetersleutel

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