# Lettervormen herleiden

#### Herleid de lettervormen

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

#### Herleid de lettervormen

##### Verbetersleutel

1. \begin{align} -3c-5c^2-2c&=-3.c-5.c^2-2.c\\&=-3.c-2.c-5.c^2\\&=-5c-5c^2\\\\ \end{align}
2. \begin{align}-2xy+2y-2xy-3y&=-2.xy+2.y-2.xy-3.y\\&=-2.xy-2.xy+2.y-3.y\\&=-4xy-y\\\\ \end{align}
3. \begin{align} -4x+4x^2-2x&=-4.x+4.x^2-2.x\\&=-4.x-2.x+4.x^2\\&=-6x+4x^2\\\\ \end{align}
4. \begin{align} -p+4p^2+2p&=-1.p+4.p^2+2.p\\&=-1.p+2.p+4.p^2\\&=p+4p^2\\\\ \end{align}
5. \begin{align}-2p+q+2p-3q&=-2.p+1.q+2.p-3.q\\&=-2.p+2.p+1.q-3.q\\&=0p-2q\\&=-2q\\ \end{align}
6. \begin{align}xy+2y+xy+2y-2xy&=1.xy+2.y+1.xy+2.y-2.xy\\&=1.xy+1.xy-2.xy+2.y+2.y\\&=0xy+4y\\&=4y\\ \end{align}
7. \begin{align}-2a-3b+3a+4b&=-2.a-3.b+3.a+4.b\\&=-2.a+3.a-3.b+4.b\\&=a+b\\\\ \end{align}
8. \begin{align}x+3y-2x+3y&=1.x+3.y-2.x+3.y\\&=1.x-2.x+3.y+3.y\\&=-x+6y\\\\ \end{align}
9. \begin{align} -2q-q^2-q&=-2.q-1.q^2-1.q\\&=-2.q-1.q-1.q^2\\&=-3q-q^2\\\\ \end{align}
10. \begin{align}-x-3y+x+y+x&=-1.x-3.y+1.x+1.y+1.x\\&=-1.x+1.x+1.x-3.y+1.y\\&=x-2y\\\\ \end{align}
11. \begin{align}-2x-2y+4x+y+x&=-2.x-2.y+4.x+1.y+1.x\\&=-2.x+4.x+1.x-2.y+1.y\\&=3x-y\\\\ \end{align}
12. \begin{align}-a-2b-3a+2b-a&=-1.a-2.b-3.a+2.b-1.a\\&=-1.a-3.a-1.a-2.b+2.b\\&=-5a+0b\\&=-5a\\ \end{align}
Oefeningengenerator vanhoeckes.be/wiskunde 2021-12-02 02:32:15