# Lettervormen herleiden

#### Herleid de lettervormen

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

#### Herleid de lettervormen

##### Verbetersleutel

1. \begin{align}-2x+2xy-3x+4xy&=-2.x+2.xy-3.x+4.xy\\&=-2.x-3.x+2.xy+4.xy\\&=-5x+6xy\\\\ \end{align}
2. \begin{align}a+b+2a-2b-2a&=1.a+1.b+2.a-2.b-2.a\\&=1.a+2.a-2.a+1.b-2.b\\&=a-b\\\\ \end{align}
3. \begin{align}2x+xy-2x+3xy-x&=2.x+1.xy-2.x+3.xy-1.x\\&=2.x-2.x-1.x+1.xy+3.xy\\&=-x+4xy\\\\ \end{align}
4. \begin{align}-xy-y-xy+y+2xy&=-1.xy-1.y-1.xy+1.y+2.xy\\&=-1.xy-1.xy+2.xy-1.y+1.y\\&=0xy+0y\\&=0\\ \end{align}
5. \begin{align}x-3y-3x-4y&=1.x-3.y-3.x-4.y\\&=1.x-3.x-3.y-4.y\\&=-2x-7y\\\\ \end{align}
6. \begin{align}-x+xy+4x-2xy-x&=-1.x+1.xy+4.x-2.xy-1.x\\&=-1.x+4.x-1.x+1.xy-2.xy\\&=2x-xy\\\\ \end{align}
7. \begin{align}2xy+2y-3xy-y&=2.xy+2.y-3.xy-1.y\\&=2.xy-3.xy+2.y-1.y\\&=-xy+y\\\\ \end{align}
8. \begin{align}-a+3b+a+b-2a&=-1.a+3.b+1.a+1.b-2.a\\&=-1.a+1.a-2.a+3.b+1.b\\&=-2a+4b\\\\ \end{align}
9. \begin{align}2a+2b+3a+2b&=2.a+2.b+3.a+2.b\\&=2.a+3.a+2.b+2.b\\&=5a+4b\\\\ \end{align}
10. \begin{align}a-2b+2a+3b&=1.a-2.b+2.a+3.b\\&=1.a+2.a-2.b+3.b\\&=3a+b\\\\ \end{align}
11. \begin{align} -2x+8x^2+x&=-2.x+8.x^2+1.x\\&=-2.x+1.x+8.x^2\\&=-x+8x^2\\\\ \end{align}
12. \begin{align}2x+3xy+4x-4xy&=2.x+3.xy+4.x-4.xy\\&=2.x+4.x+3.xy-4.xy\\&=6x-xy\\\\ \end{align}
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 08:25:51