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

1. \(-5x^3(-x^2+3x^5+4)\)
2. \((x^2+3x-1)(3x^2+x+2)\)
3. \(-8x^5(5x^5+x^3-1)\)
4. \((x^2-4x-2)(3x^{5}-4)\)
5. \((4x+8)(-3x-5)\)
6. \(7x(-9x-10y+14)\)
7. \(8x(8x+5y-13)\)
8. \((-2x^2-4x-3)(-3x^{5}-2)\)
9. \((19x^3-18x-17)+(-10x^3-19x^2-10)\)
10. \(-9x(-18x^8-12x^2)\)
11. \((-x^2+17)-(x^2-6x)\)
12. \(13x(4x^7-10x^6)\)

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

Verbetersleutel

1. \(-5x^3(-x^2+3x^5+4)=-15x^{8}+5x^{5}-20x^3\)
2. \((x^2+3x-1)(3x^2+x+2)\\=3x^4+x^3+2x^2+9x^3+3x^2+6x-3x^2-x-2\\=3x^4+10x^3+2x^2+5x-2\)
3. \(-8x^5(5x^5+x^3-1)=-40x^{10}-8x^{8}+8x^5\)
4. \((x^2-4x-2)(3x^{5}-4)\\=3x^{7}-4x^2-12x^{6}+16x-6x^5+8\\=3x^{7}-12x^{6}-6x^5-4x^2+16x+8\)
5. \((4x+8)(-3x-5)\\=-12x^2-20x-24x-40\\=-12x^2-44x-40\)
6. \(7x(-9x-10y+14)=-63x^2-70xy+98x\)
7. \(8x(8x+5y-13)=64x^2+40xy-104x\)
8. \((-2x^2-4x-3)(-3x^{5}-2)\\=6x^{7}+4x^2+12x^{6}+8x+9x^5+6\\=6x^{7}+12x^{6}+9x^5+4x^2+8x+6\)
9. \((19x^3-18x-17)+(-10x^3-19x^2-10)\\=19x^3-18x-17-10x^3-19x^2-10\\=9x^3-19x^2-18x-27\)
10. \(-9x(-18x^8-12x^2)=162x^9+108x^3\)
11. \((-x^2+17)-(x^2-6x)\\=-x^2+17-x^2+6x\\=-2x^2+6x+17\)
12. \(13x(4x^7-10x^6)=52x^8-130x^7\)