Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169p^{8}+130p^4s+25s^2\)
2. \(121-81a^{14}\)
3. \(64y^2-81\)
4. \(y^2+12y+36\)
5. \(b^2-36\)
6. \(121-169q^{4}\)
7. \(100s^{4}+180s^2+81\)
8. \(x^2-6x+9\)
9. \(-100q^2+81\)
10. \(9p^{8}+60p^4+100\)
11. \(9-64a^{14}\)
12. \(196s^2-308s+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169p^{8}+130p^4s+25s^2=(13p^4+5s)^2\)
2. \(121-81a^{14}=(11-9a^7)(11+9a^7)\)
3. \(64y^2-81=(8y+9)(8y-9)\)
4. \(y^2+12y+36=(y+6)^2\)
5. \(b^2-36=(b-6)(b+6)\)
6. \(121-169q^{4}=(11-13q^2)(11+13q^2)\)
7. \(100s^{4}+180s^2+81=(10s^2+9)^2\)
8. \(x^2-6x+9=(x-3)^2\)
9. \(-100q^2+81=(9-10q)(9+10q)\)
10. \(9p^{8}+60p^4+100=(3p^4+10)^2\)
11. \(9-64a^{14}=(3-8a^7)(3+8a^7)\)
12. \(196s^2-308s+121=(14s-11)^2\)