Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-12b+36\)
2. \(121-49y^{6}\)
3. \(100a^{6}-1\)
4. \(196b^{4}+308b^2q+121q^2\)
5. \(4a^{8}+36a^4p+81p^2\)
6. \(4y^{14}-25\)
7. \(144a^{10}-264a^5b+121b^2\)
8. \(y^2-144\)
9. \(81y^{8}+126y^4+49\)
10. \(81y^2-64\)
11. \(x^2-169\)
12. \(64a^{8}-112a^4p+49p^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-12b+36=(b-6)^2\)
2. \(121-49y^{6}=(11-7y^3)(11+7y^3)\)
3. \(100a^{6}-1=(10a^3+1)(10a^3-1)\)
4. \(196b^{4}+308b^2q+121q^2=(14b^2+11q)^2\)
5. \(4a^{8}+36a^4p+81p^2=(2a^4+9p)^2\)
6. \(4y^{14}-25=(2y^7+5)(2y^7-5)\)
7. \(144a^{10}-264a^5b+121b^2=(12a^5-11b)^2\)
8. \(y^2-144=(y-12)(y+12)\)
9. \(81y^{8}+126y^4+49=(9y^4+7)^2\)
10. \(81y^2-64=(9y+8)(9y-8)\)
11. \(x^2-169=(x-13)(x+13)\)
12. \(64a^{8}-112a^4p+49p^2=(8a^4-7p)^2\)