Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169p^{8}+26p^4+1\)
2. \(25p^{8}-90p^4s+81s^2\)
3. \(256y^2-288y+81\)
4. \(256x^2-96x+9\)
5. \(-256y^2+169\)
6. \(64a^{8}+208a^4+169\)
7. \(169a^{16}-1\)
8. \(169q^{10}-156q^5+36\)
9. \(81s^{8}+18s^4x+1x^2\)
10. \(16q^2+72q+81\)
11. \(196s^{6}+28s^3x+1x^2\)
12. \(x^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169p^{8}+26p^4+1=(13p^4+1)^2\)
2. \(25p^{8}-90p^4s+81s^2=(5p^4-9s)^2\)
3. \(256y^2-288y+81=(16y-9)^2\)
4. \(256x^2-96x+9=(16x-3)^2\)
5. \(-256y^2+169=(13-16y)(13+16y)\)
6. \(64a^{8}+208a^4+169=(8a^4+13)^2\)
7. \(169a^{16}-1=(13a^8+1)(13a^8-1)\)
8. \(169q^{10}-156q^5+36=(13q^5-6)^2\)
9. \(81s^{8}+18s^4x+1x^2=(9s^4+x)^2\)
10. \(16q^2+72q+81=(4q+9)^2\)
11. \(196s^{6}+28s^3x+1x^2=(14s^3+x)^2\)
12. \(x^2-144=(x-12)(x+12)\)