Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64s^{6}-1\)
2. \(81s^{10}+18s^5+1\)
3. \(49a^{8}-64q^2\)
4. \(144p^{12}-121y^2\)
5. \(225x^2-1\)
6. \(p^2-6p+9\)
7. \(225b^{4}-420b^2p+196p^2\)
8. \(225s^{6}+120s^3+16\)
9. \(16s^2+24s+9\)
10. \(s^2+10s+25\)
11. \(196x^{6}+364x^3+169\)
12. \(16p^{6}-24p^3s+9s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64s^{6}-1=(8s^3+1)(8s^3-1)\)
2. \(81s^{10}+18s^5+1=(9s^5+1)^2\)
3. \(49a^{8}-64q^2=(7a^4+8q)(7a^4-8q)\)
4. \(144p^{12}-121y^2=(12p^6+11y)(12p^6-11y)\)
5. \(225x^2-1=(15x+1)(15x-1)\)
6. \(p^2-6p+9=(p-3)^2\)
7. \(225b^{4}-420b^2p+196p^2=(15b^2-14p)^2\)
8. \(225s^{6}+120s^3+16=(15s^3+4)^2\)
9. \(16s^2+24s+9=(4s+3)^2\)
10. \(s^2+10s+25=(s+5)^2\)
11. \(196x^{6}+364x^3+169=(14x^3+13)^2\)
12. \(16p^{6}-24p^3s+9s^2=(4p^3-3s)^2\)