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

1. \(-8x^5(-7x^4-4x+2)\)
2. \((8x-2)(-5x+4)\)
3. \((11x-14)+(-18x-9)\)
4. \((-4x-2)+(16x-12)\)
5. \((-x^2+3x+4)(-x^2+3x+1)\)
6. \((7x+8)+(-17x-18)\)
7. \((7x-6)+(-5x-10)\)
8. \((-8x^2+6)(x^2-6)\)
9. \(14x(7x^6+12x^2)\)
10. \(-6x^3(5x^4+10x+3)\)
11. \(6x^4(7x^4+4x^3-5)\)
12. \((-7x^3+16x^2-16)-(-3x^3+4-13x)-(-9x-17x^2-9x^3)\)

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

Verbetersleutel

1. \(-8x^5(-7x^4-4x+2)=56x^9+32x^6-16x^5\)
2. \((8x-2)(-5x+4)\\=-40x^2+32x+10x-8\\=-40x^2+42x-8\)
3. \((11x-14)+(-18x-9)\\=11x-14-18x-9\\=-7x-23\)
4. \((-4x-2)+(16x-12)\\=-4x-2+16x-12\\=12x-14\)
5. \((-x^2+3x+4)(-x^2+3x+1)\\=x^4-3x^3-x^2-3x^3+9x^2+3x-4x^2+12x+4\\=x^4-6x^3+4x^2+15x+4\)
6. \((7x+8)+(-17x-18)\\=7x+8-17x-18\\=-10x-10\)
7. \((7x-6)+(-5x-10)\\=7x-6-5x-10\\=2x-16\)
8. \((-8x^2+6)(x^2-6)\\=-8x^4+48x^2+6x^2-36\\=-8x^4+54x^2-36\)
9. \(14x(7x^6+12x^2)=98x^7+168x^3\)
10. \(-6x^3(5x^4+10x+3)=-30x^7-60x^4-18x^3\)
11. \(6x^4(7x^4+4x^3-5)=42x^{8}+24x^{7}-30x^4\)
12. \((-7x^3+16x^2-16)-(-3x^3+4-13x)-(-9x-17x^2-9x^3)\\=-7x^3+16x^2-16+3x^3-4+13x+9x+17x^2+9x^3\\=5x^3+33x^2+22x-20\)