# Bewerkingen met veeltermen

#### Bereken, herleid en rangschik naar dalende macht (ZRM toegestaan)

1. $$-7x(8x-8y-3)$$
2. $$(2x^2+2x+1)(-3x^2-2x-2)$$
3. $$(-15x^2-4x) +(-4x-2) -(-8x+2)$$
4. $$(-18x^3-6x^2-15)-(14x^3+5+5x)-(-10x+13x^2+17x^3)$$
5. $$-4x^5(7x^4-4x-2)$$
6. $$(-x+6)(-5x+5)$$
7. $$(6x^2-3x)(-x-5)$$
8. $$(7x^3+5x^2-9x)-(-10x^2-15x+18x^3)$$
9. $$-8x^5(5x^3-7x+4)$$
10. $$4x^2(3x^3+7x-5)$$
11. $$-8x(5x^2+10x+3)$$
12. $$(-3x^2-2x-1)(x^2-3x+2)$$

#### Bereken, herleid en rangschik naar dalende macht (ZRM toegestaan)

##### Verbetersleutel

1. $$-7x(8x-8y-3)=-56x^2+56xy+21x$$
2. $$(2x^2+2x+1)(-3x^2-2x-2)\\=-6x^4-4x^3-4x^2-6x^3-4x^2-4x-3x^2-2x-2\\=-6x^4-10x^3-11x^2-6x-2$$
3. $$(-15x^2-4x) +(-4x-2) -(-8x+2)\\=-15x^2-4x-4x-2+8x-2\\=-15x^2-4$$
4. $$(-18x^3-6x^2-15)-(14x^3+5+5x)-(-10x+13x^2+17x^3)\\=-18x^3-6x^2-15-14x^3-5-5x+10x-13x^2-17x^3\\=-49x^3-19x^2+5x-20$$
5. $$-4x^5(7x^4-4x-2)=-28x^9+16x^6+8x^5$$
6. $$(-x+6)(-5x+5)\\=5x^2-5x-30x+30\\=5x^2-35x+30$$
7. $$(6x^2-3x)(-x-5)\\=-6x^3-30x^2+3x^2+15x\\=-6x^3-27x^2+15x$$
8. $$(7x^3+5x^2-9x)-(-10x^2-15x+18x^3)\\=7x^3+5x^2-9x+10x^2+15x-18x^3\\=-11x^3+15x^2+6x$$
9. $$-8x^5(5x^3-7x+4)=-40x^8+56x^6-32x^5$$
10. $$4x^2(3x^3+7x-5)=12x^5+28x^3-20x^2$$
11. $$-8x(5x^2+10x+3)=-40x^3-80x^2-24x$$
12. $$(-3x^2-2x-1)(x^2-3x+2)\\=-3x^4+9x^3-6x^2-2x^3+6x^2-4x-x^2+3x-2\\=-3x^4+7x^3-x^2-x-2$$
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 07:26:47