Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16a^{8}-121b^2\)
2. \(36p^{8}+156p^4y+169y^2\)
3. \(9p^{10}+24p^5+16\)
4. \(256b^{4}-480b^2+225\)
5. \(121y^{4}+110y^2+25\)
6. \(196b^{8}-9p^2\)
7. \(x^2-64\)
8. \(9-256y^{14}\)
9. \(81a^{10}-234a^5b+169b^2\)
10. \(b^2-20b+100\)
11. \(36p^{6}+84p^3q+49q^2\)
12. \(144-49p^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16a^{8}-121b^2=(4a^4+11b)(4a^4-11b)\)
2. \(36p^{8}+156p^4y+169y^2=(6p^4+13y)^2\)
3. \(9p^{10}+24p^5+16=(3p^5+4)^2\)
4. \(256b^{4}-480b^2+225=(16b^2-15)^2\)
5. \(121y^{4}+110y^2+25=(11y^2+5)^2\)
6. \(196b^{8}-9p^2=(14b^4+3p)(14b^4-3p)\)
7. \(x^2-64=(x-8)(x+8)\)
8. \(9-256y^{14}=(3-16y^7)(3+16y^7)\)
9. \(81a^{10}-234a^5b+169b^2=(9a^5-13b)^2\)
10. \(b^2-20b+100=(b-10)^2\)
11. \(36p^{6}+84p^3q+49q^2=(6p^3+7q)^2\)
12. \(144-49p^{12}=(12-7p^6)(12+7p^6)\)