Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169y^2-81\)
2. \(49y^2+70y+25\)
3. \(169x^{8}-49\)
4. \(p^2-12p+36\)
5. \(81x^2+72x+16\)
6. \(-9p^2+64\)
7. \(-256a^2+81\)
8. \(64s^{8}-9\)
9. \(49s^2-25a^{14}\)
10. \(36a^{8}+132a^4+121\)
11. \(121x^2-144s^{16}\)
12. \(256x^{4}-480x^2+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169y^2-81=(13y+9)(13y-9)\)
2. \(49y^2+70y+25=(7y+5)^2\)
3. \(169x^{8}-49=(13x^4+7)(13x^4-7)\)
4. \(p^2-12p+36=(p-6)^2\)
5. \(81x^2+72x+16=(9x+4)^2\)
6. \(-9p^2+64=(8-3p)(8+3p)\)
7. \(-256a^2+81=(9-16a)(9+16a)\)
8. \(64s^{8}-9=(8s^4+3)(8s^4-3)\)
9. \(49s^2-25a^{14}=(7s-5a^7)(7s+5a^7)\)
10. \(36a^{8}+132a^4+121=(6a^4+11)^2\)
11. \(121x^2-144s^{16}=(11x-12s^8)(11x+12s^8)\)
12. \(256x^{4}-480x^2+225=(16x^2-15)^2\)