Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9-169p^{8}\)
2. \(-9x^2+121\)
3. \(-4y^2+1\)
4. \(121q^{4}-110q^2y+25y^2\)
5. \(a^2-9\)
6. \(4a^2-81\)
7. \(25s^2-9a^{8}\)
8. \(36y^{6}+84y^3+49\)
9. \(121-144q^{14}\)
10. \(16-121s^{10}\)
11. \(1-100y^{16}\)
12. \(169y^2-196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9-169p^{8}=(3-13p^4)(3+13p^4)\)
2. \(-9x^2+121=(11-3x)(11+3x)\)
3. \(-4y^2+1=(1-2y)(1+2y)\)
4. \(121q^{4}-110q^2y+25y^2=(11q^2-5y)^2\)
5. \(a^2-9=(a+3)(a-3)\)
6. \(4a^2-81=(2a+9)(2a-9)\)
7. \(25s^2-9a^{8}=(5s-3a^4)(5s+3a^4)\)
8. \(36y^{6}+84y^3+49=(6y^3+7)^2\)
9. \(121-144q^{14}=(11-12q^7)(11+12q^7)\)
10. \(16-121s^{10}=(4-11s^5)(4+11s^5)\)
11. \(1-100y^{16}=(1-10y^8)(1+10y^8)\)
12. \(169y^2-196=(13y+14)(13y-14)\)