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

1. \((-7x^2-2x)(5x+7)\)
2. \((8x^2-3x)(3x+5)\)
3. \((x^2-4x-1)(-3x^{6}-4)\)
4. \(8x(-7x-13y-9)\)
5. \((3x^4+4x^2-4)(x^2-1)\)
6. \((-x^2-2x+4)(-x^2+x-3)\)
7. \((19x-6)+(-14x-12)\)
8. \((14x^3+20x^2+x)-(-13x^2-6x+6x^3)\)
9. \(-7x^2(-x^5+6x^2-4)\)
10. \((4x+9)(5x-2)\)
11. \(8x(8x^4-x^2)\)
12. \(-11x(-19x^4+19x^3)\)

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

Verbetersleutel

1. \((-7x^2-2x)(5x+7)\\=-35x^3-49x^2-10x^2-14x\\=-35x^3-59x^2-14x\)
2. \((8x^2-3x)(3x+5)\\=24x^3+40x^2-9x^2-15x\\=24x^3+31x^2-15x\)
3. \((x^2-4x-1)(-3x^{6}-4)\\=-3x^{8}-4x^2+12x^{7}+16x+3x^6+4\\=-3x^{8}+12x^{7}+3x^6-4x^2+16x+4\)
4. \(8x(-7x-13y-9)=-56x^2-104xy-72x\)
5. \((3x^4+4x^2-4)(x^2-1)\\=3x^6-3x^4+4x^4-4x^2-4x^2+4\\=3x^6+x^4-8x^2+4\)
6. \((-x^2-2x+4)(-x^2+x-3)\\=x^4-x^3+3x^2+2x^3-2x^2+6x-4x^2+4x-12\\=x^4+x^3-3x^2+10x-12\)
7. \((19x-6)+(-14x-12)\\=19x-6-14x-12\\=5x-18\)
8. \((14x^3+20x^2+x)-(-13x^2-6x+6x^3)\\=14x^3+20x^2+x+13x^2+6x-6x^3\\=8x^3+33x^2+7x\)
9. \(-7x^2(-x^5+6x^2-4)=7x^{7}-42x^{4}+28x^2\)
10. \((4x+9)(5x-2)\\=20x^2-8x+45x-18\\=20x^2+37x-18\)
11. \(8x(8x^4-x^2)=64x^5-8x^3\)
12. \(-11x(-19x^4+19x^3)=209x^5-209x^4\)