Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25p^2+120p+144\)
2. \(81y^2-196x^{14}\)
3. \(121y^2+308y+196\)
4. \(s^2-81\)
5. \(16-49y^{12}\)
6. \(q^2-16q+64\)
7. \(225q^{14}-169\)
8. \(s^2-30s+225\)
9. \(a^2-144\)
10. \(196p^2-364p+169\)
11. \(49q^2-28q+4\)
12. \(256y^{10}-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25p^2+120p+144=(5p+12)^2\)
2. \(81y^2-196x^{14}=(9y-14x^7)(9y+14x^7)\)
3. \(121y^2+308y+196=(11y+14)^2\)
4. \(s^2-81=(s+9)(s-9)\)
5. \(16-49y^{12}=(4-7y^6)(4+7y^6)\)
6. \(q^2-16q+64=(q-8)^2\)
7. \(225q^{14}-169=(15q^7+13)(15q^7-13)\)
8. \(s^2-30s+225=(s-15)^2\)
9. \(a^2-144=(a-12)(a+12)\)
10. \(196p^2-364p+169=(14p-13)^2\)
11. \(49q^2-28q+4=(7q-2)^2\)
12. \(256y^{10}-169=(16y^5+13)(16y^5-13)\)