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

1. \(-x^4(-8x^5+5x^3+4)\)
2. \((2x^2-4x-3)(-2x^2+x-1)\)
3. \((7x-4)(-x+3)\)
4. \((5x^3+17x+5)+(-16x^3-10x^2-1)\)
5. \(5x^4(-x^3+10x^2-3)\)
6. \((-2x^2+4x+3)(x^2-4x-2)\)
7. \(x^4(3x^6+4x^2+5)\)
8. \((-3x^2-4x-4)(3x^{7}-2)\)
9. \((-5x^2-4)(x^2-8)\)
10. \((15x+7)+(6x-15)\)
11. \((10x^2+2x) +(2x+5) -(+4x-5)\)
12. \(-14x(-12x^8+20x^7)\)

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

Verbetersleutel

1. \(-x^4(-8x^5+5x^3+4)=8x^{9}-5x^{7}-4x^4\)
2. \((2x^2-4x-3)(-2x^2+x-1)\\=-4x^4+2x^3-2x^2+8x^3-4x^2+4x+6x^2-3x+3\\=-4x^4+10x^3+x+3\)
3. \((7x-4)(-x+3)\\=-7x^2+21x+4x-12\\=-7x^2+25x-12\)
4. \((5x^3+17x+5)+(-16x^3-10x^2-1)\\=5x^3+17x+5-16x^3-10x^2-1\\=-11x^3-10x^2+17x+4\)
5. \(5x^4(-x^3+10x^2-3)=-5x^{7}+50x^{6}-15x^4\)
6. \((-2x^2+4x+3)(x^2-4x-2)\\=-2x^4+8x^3+4x^2+4x^3-16x^2-8x+3x^2-12x-6\\=-2x^4+12x^3-9x^2-20x-6\)
7. \(x^4(3x^6+4x^2+5)=3x^{10}+4x^{6}+5x^4\)
8. \((-3x^2-4x-4)(3x^{7}-2)\\=-9x^{9}+6x^2-12x^{8}+8x-12x^7+8\\=-9x^{9}-12x^{8}-12x^7+6x^2+8x+8\)
9. \((-5x^2-4)(x^2-8)\\=-5x^4+40x^2-4x^2+32\\=-5x^4+36x^2+32\)
10. \((15x+7)+(6x-15)\\=15x+7+6x-15\\=21x-8\)
11. \((10x^2+2x) +(2x+5) -(+4x-5)\\=10x^2+2x+2x+5-4x+5\\=10x^2+10\)
12. \(-14x(-12x^8+20x^7)=168x^9-280x^8\)