Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256p^{6}-121s^2\)
2. \(121q^2+132q+36\)
3. \(y^2+8y+16\)
4. \(121s^2-196a^{6}\)
5. \(s^2-28s+196\)
6. \(256s^2-480s+225\)
7. \(144q^2+24q+1\)
8. \(y^2-1\)
9. \(121b^{12}-64\)
10. \(81y^2-16\)
11. \(81q^{4}-234q^2+169\)
12. \(1-100q^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256p^{6}-121s^2=(16p^3+11s)(16p^3-11s)\)
2. \(121q^2+132q+36=(11q+6)^2\)
3. \(y^2+8y+16=(y+4)^2\)
4. \(121s^2-196a^{6}=(11s-14a^3)(11s+14a^3)\)
5. \(s^2-28s+196=(s-14)^2\)
6. \(256s^2-480s+225=(16s-15)^2\)
7. \(144q^2+24q+1=(12q+1)^2\)
8. \(y^2-1=(y+1)(y-1)\)
9. \(121b^{12}-64=(11b^6+8)(11b^6-8)\)
10. \(81y^2-16=(9y+4)(9y-4)\)
11. \(81q^{4}-234q^2+169=(9q^2-13)^2\)
12. \(1-100q^{8}=(1-10q^4)(1+10q^4)\)