Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121b^{12}-169y^2\)
2. \(100q^{8}-260q^4x+169x^2\)
3. \(81y^{12}-100\)
4. \(49q^{4}-224q^2y+256y^2\)
5. \(196p^{14}-81y^2\)
6. \(49a^2-225\)
7. \(36q^{10}-132q^5+121\)
8. \(144y^{8}-264y^4+121\)
9. \(121b^{6}-220b^3p+100p^2\)
10. \(196s^2+28s+1\)
11. \(256p^{8}+32p^4+1\)
12. \(9b^{10}-30b^5p+25p^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121b^{12}-169y^2=(11b^6+13y)(11b^6-13y)\)
2. \(100q^{8}-260q^4x+169x^2=(10q^4-13x)^2\)
3. \(81y^{12}-100=(9y^6+10)(9y^6-10)\)
4. \(49q^{4}-224q^2y+256y^2=(7q^2-16y)^2\)
5. \(196p^{14}-81y^2=(14p^7+9y)(14p^7-9y)\)
6. \(49a^2-225=(7a+15)(7a-15)\)
7. \(36q^{10}-132q^5+121=(6q^5-11)^2\)
8. \(144y^{8}-264y^4+121=(12y^4-11)^2\)
9. \(121b^{6}-220b^3p+100p^2=(11b^3-10p)^2\)
10. \(196s^2+28s+1=(14s+1)^2\)
11. \(256p^{8}+32p^4+1=(16p^4+1)^2\)
12. \(9b^{10}-30b^5p+25p^2=(3b^5-5p)^2\)