Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9b^2-84b+196\)
2. \(256b^{16}-225\)
3. \(4p^{14}-9x^2\)
4. \(36y^2-60y+25\)
5. \(196b^{8}-364b^4p+169p^2\)
6. \(36x^{4}-132x^2y+121y^2\)
7. \(-256b^2+169\)
8. \(s^2+26s+169\)
9. \(64p^{4}-112p^2q+49q^2\)
10. \(9s^2-49\)
11. \(9p^2-16b^{16}\)
12. \(a^2-2a+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9b^2-84b+196=(3b-14)^2\)
2. \(256b^{16}-225=(16b^8+15)(16b^8-15)\)
3. \(4p^{14}-9x^2=(2p^7+3x)(2p^7-3x)\)
4. \(36y^2-60y+25=(6y-5)^2\)
5. \(196b^{8}-364b^4p+169p^2=(14b^4-13p)^2\)
6. \(36x^{4}-132x^2y+121y^2=(6x^2-11y)^2\)
7. \(-256b^2+169=(13-16b)(13+16b)\)
8. \(s^2+26s+169=(s+13)^2\)
9. \(64p^{4}-112p^2q+49q^2=(8p^2-7q)^2\)
10. \(9s^2-49=(3s+7)(3s-7)\)
11. \(9p^2-16b^{16}=(3p-4b^8)(3p+4b^8)\)
12. \(a^2-2a+1=(a-1)^2\)