Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-1\)
2. \(169-64s^{8}\)
3. \(9q^{14}-100x^2\)
4. \(81y^2+90y+25\)
5. \(-9q^2+169\)
6. \(169-9p^{16}\)
7. \(q^2-100\)
8. \(9s^{4}-48s^2+64\)
9. \(25b^2-64a^{6}\)
10. \(169p^2+364p+196\)
11. \(9q^2-100\)
12. \(49a^{6}-9q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-1=(b+1)(b-1)\)
2. \(169-64s^{8}=(13-8s^4)(13+8s^4)\)
3. \(9q^{14}-100x^2=(3q^7+10x)(3q^7-10x)\)
4. \(81y^2+90y+25=(9y+5)^2\)
5. \(-9q^2+169=(13-3q)(13+3q)\)
6. \(169-9p^{16}=(13-3p^8)(13+3p^8)\)
7. \(q^2-100=(q-10)(q+10)\)
8. \(9s^{4}-48s^2+64=(3s^2-8)^2\)
9. \(25b^2-64a^{6}=(5b-8a^3)(5b+8a^3)\)
10. \(169p^2+364p+196=(13p+14)^2\)
11. \(9q^2-100=(3q+10)(3q-10)\)
12. \(49a^{6}-9q^2=(7a^3+3q)(7a^3-3q)\)