# Lettervormen herleiden

#### Herleid de lettervormen

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

#### Herleid de lettervormen

##### Verbetersleutel

1. \begin{align}-a-b+a-4b+a&=-1.a-1.b+1.a-4.b+1.a\\&=-1.a+1.a+1.a-1.b-4.b\\&=a-5b\\\\ \end{align}
2. \begin{align}2a+3b+3a-b&=2.a+3.b+3.a-1.b\\&=2.a+3.a+3.b-1.b\\&=5a+2b\\\\ \end{align}
3. \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}
4. \begin{align}-2p-2q+4p+4q-p&=-2.p-2.q+4.p+4.q-1.p\\&=-2.p+4.p-1.p-2.q+4.q\\&=p+2q\\\\ \end{align}
5. \begin{align}2xy+3y+2xy-4y-xy&=2.xy+3.y+2.xy-4.y-1.xy\\&=2.xy+2.xy-1.xy+3.y-4.y\\&=3xy-y\\\\ \end{align}
6. \begin{align}2a-2b-2a+2b-2a&=2.a-2.b-2.a+2.b-2.a\\&=2.a-2.a-2.a-2.b+2.b\\&=-2a+0b\\&=-2a\\ \end{align}
7. \begin{align}2p+3q+3p+q+2p&=2.p+3.q+3.p+1.q+2.p\\&=2.p+3.p+2.p+3.q+1.q\\&=7p+4q\\\\ \end{align}
8. \begin{align}-2p+3q-p-q&=-2.p+3.q-1.p-1.q\\&=-2.p-1.p+3.q-1.q\\&=-3p+2q\\\\ \end{align}
9. \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}
10. \begin{align}a-3b+3a-2b+a&=1.a-3.b+3.a-2.b+1.a\\&=1.a+3.a+1.a-3.b-2.b\\&=5a-5b\\\\ \end{align}
11. \begin{align}2x+3xy+4x+4xy-x&=2.x+3.xy+4.x+4.xy-1.x\\&=2.x+4.x-1.x+3.xy+4.xy\\&=5x+7xy\\\\ \end{align}
12. \begin{align}-p-2q-4p+q-p&=-1.p-2.q-4.p+1.q-1.p\\&=-1.p-4.p-1.p-2.q+1.q\\&=-6p-q\\\\ \end{align}
Oefeningengenerator vanhoeckes.be/wiskunde 2024-08-09 05:34:10