Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169p^2-196\)
2. \(-16s^2+81\)
3. \(25a^{12}-4p^2\)
4. \(121b^{10}+176b^5p+64p^2\)
5. \(16a^{6}-121q^2\)
6. \(9q^{4}+78q^2+169\)
7. \(81p^{8}-169s^2\)
8. \(225b^{8}+60b^4+4\)
9. \(9-256y^{4}\)
10. \(b^2-10b+25\)
11. \(100s^2-49\)
12. \(q^2-22q+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169p^2-196=(13p+14)(13p-14)\)
2. \(-16s^2+81=(9-4s)(9+4s)\)
3. \(25a^{12}-4p^2=(5a^6+2p)(5a^6-2p)\)
4. \(121b^{10}+176b^5p+64p^2=(11b^5+8p)^2\)
5. \(16a^{6}-121q^2=(4a^3+11q)(4a^3-11q)\)
6. \(9q^{4}+78q^2+169=(3q^2+13)^2\)
7. \(81p^{8}-169s^2=(9p^4+13s)(9p^4-13s)\)
8. \(225b^{8}+60b^4+4=(15b^4+2)^2\)
9. \(9-256y^{4}=(3-16y^2)(3+16y^2)\)
10. \(b^2-10b+25=(b-5)^2\)
11. \(100s^2-49=(10s+7)(10s-7)\)
12. \(q^2-22q+121=(q-11)^2\)