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

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

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

Verbetersleutel

1. \((-x^2-3x-3)(2x^{4}+5)\\=-2x^{6}-5x^2-6x^{5}-15x-6x^4-15\\=-2x^{6}-6x^{5}-6x^4-5x^2-15x-15\)
2. \((3x^2+1)(5x^2+1)\\=15x^4+3x^2+5x^2+1\\=15x^4+8x^2+1\)
3. \(3x^2(5x^3+x+4)=15x^5+3x^3+12x^2\)
4. \((-2x^2-6x)(-3x+1)\\=6x^3-2x^2+18x^2-6x\\=6x^3+16x^2-6x\)
5. \(-4x^3(10x^3-2x^5+3)=8x^{8}-40x^{6}-12x^3\)
6. \((2x^2-10x)(5x+2)\\=10x^3+4x^2-50x^2-20x\\=10x^3-46x^2-20x\)
7. \(16x(2x^5-20x^2)=32x^6-320x^3\)
8. \(-6x^4(-5x^3+2x^2-1)=30x^{7}-12x^{6}+6x^4\)
9. \(2x^4(-6x^2+3x+3)=-12x^6+6x^5+6x^4\)
10. \(6x^2(-6x^2+2x-5)=-36x^4+12x^3-30x^2\)
11. \(6x(20x+12y-12)=120x^2+72xy-72x\)
12. \((14x^2-4x) +(-4x+15) -(-8x-15)\\=14x^2-4x-4x+15+8x+15\\=14x^2+30\)