Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-14q+49\)
2. \(144a^{8}+168a^4b+49b^2\)
3. \(b^2-12b+36\)
4. \(169s^{8}+26s^4y+1y^2\)
5. \(121x^{8}+66x^4+9\)
6. \(81-196y^{6}\)
7. \(144b^{8}-1\)
8. \(s^2-144\)
9. \(q^2-2q+1\)
10. \(p^2-144\)
11. \(144b^2-25\)
12. \(256b^{4}-288b^2+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-14q+49=(q-7)^2\)
2. \(144a^{8}+168a^4b+49b^2=(12a^4+7b)^2\)
3. \(b^2-12b+36=(b-6)^2\)
4. \(169s^{8}+26s^4y+1y^2=(13s^4+y)^2\)
5. \(121x^{8}+66x^4+9=(11x^4+3)^2\)
6. \(81-196y^{6}=(9-14y^3)(9+14y^3)\)
7. \(144b^{8}-1=(12b^4+1)(12b^4-1)\)
8. \(s^2-144=(s-12)(s+12)\)
9. \(q^2-2q+1=(q-1)^2\)
10. \(p^2-144=(p+12)(p-12)\)
11. \(144b^2-25=(12b+5)(12b-5)\)
12. \(256b^{4}-288b^2+81=(16b^2-9)^2\)