Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^{12}-36y^2\)
2. \(-121y^2+49\)
3. \(256b^{16}-225x^2\)
4. \(4a^2-1\)
5. \(9y^2-16p^{6}\)
6. \(p^2+28p+196\)
7. \(36y^2-132y+121\)
8. \(169a^{4}-156a^2p+36p^2\)
9. \(-16q^2+169\)
10. \(121a^2-196\)
11. \(169x^2-416x+256\)
12. \(64a^{4}-112a^2s+49s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^{12}-36y^2=(p^6+6y)(p^6-6y)\)
2. \(-121y^2+49=(7-11y)(7+11y)\)
3. \(256b^{16}-225x^2=(16b^8+15x)(16b^8-15x)\)
4. \(4a^2-1=(2a+1)(2a-1)\)
5. \(9y^2-16p^{6}=(3y-4p^3)(3y+4p^3)\)
6. \(p^2+28p+196=(p+14)^2\)
7. \(36y^2-132y+121=(6y-11)^2\)
8. \(169a^{4}-156a^2p+36p^2=(13a^2-6p)^2\)
9. \(-16q^2+169=(13-4q)(13+4q)\)
10. \(121a^2-196=(11a+14)(11a-14)\)
11. \(169x^2-416x+256=(13x-16)^2\)
12. \(64a^{4}-112a^2s+49s^2=(8a^2-7s)^2\)