Bewerkingen met veeltermen

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

1. \((-16x-4)+(20x-14)\)
2. \((-9x^2+8)-(-6x^2-17x)\)
3. \(3x^5(x^5-5x^6-4)\)
4. \((-3x^2+2x+3)(3x^2+2x+1)\)
5. \((-x-5)(2x+4)\)
6. \((-15x^2-14x) +(-14x-1) -(-28x+1)\)
7. \(4x^4(5x^3-3x+4)\)
8. \((-11x^2-13x) +(-13x+12) -(-26x-12)\)
9. \(2x(11x+5y+11)\)
10. \(-4x^3(-2x^3+10x-3)\)
11. \(4x(11x-8y+1)\)
12. \((2x^3+18x^2+20)-(-12x^3-10+19x)-(-17x+4x^2-13x^3)\)

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

Verbetersleutel

1. \((-16x-4)+(20x-14)\\=-16x-4+20x-14\\=4x-18\)
2. \((-9x^2+8)-(-6x^2-17x)\\=-9x^2+86x^2+17x\\=-3x^2+17x+8\)
3. \(3x^5(x^5-5x^6-4)=-15x^{11}+3x^{10}-12x^5\)
4. \((-3x^2+2x+3)(3x^2+2x+1)\\=-9x^4-6x^3-3x^2+6x^3+4x^2+2x+9x^2+6x+3\\=-9x^4+10x^2+8x+3\)
5. \((-x-5)(2x+4)\\=-2x^2-4x-10x-20\\=-2x^2-14x-20\)
6. \((-15x^2-14x) +(-14x-1) -(-28x+1)\\=-15x^2-14x-14x-1+28x-1\\=-15x^2-2\)
7. \(4x^4(5x^3-3x+4)=20x^7-12x^5+16x^4\)
8. \((-11x^2-13x) +(-13x+12) -(-26x-12)\\=-11x^2-13x-13x+12+26x+12\\=-11x^2+24\)
9. \(2x(11x+5y+11)=22x^2+10xy+22x\)
10. \(-4x^3(-2x^3+10x-3)=8x^6-40x^4+12x^3\)
11. \(4x(11x-8y+1)=44x^2-32xy+4x\)
12. \((2x^3+18x^2+20)-(-12x^3-10+19x)-(-17x+4x^2-13x^3)\\=2x^3+18x^2+20+12x^3+10-19x+17x-4x^2+13x^3\\=27x^3+14x^2-2x+30\)