Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100a^{4}-60a^2+9\)
2. \(-49a^2+64\)
3. \(100y^{12}-169\)
4. \(s^2-36\)
5. \(64-225a^{16}\)
6. \(16a^2-24a+9\)
7. \(121b^{8}-110b^4y+25y^2\)
8. \(225p^{6}-420p^3+196\)
9. \(p^2-1\)
10. \(-64a^2+225\)
11. \(121a^2-286a+169\)
12. \(64y^{8}-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100a^{4}-60a^2+9=(10a^2-3)^2\)
2. \(-49a^2+64=(8-7a)(8+7a)\)
3. \(100y^{12}-169=(10y^6+13)(10y^6-13)\)
4. \(s^2-36=(s-6)(s+6)\)
5. \(64-225a^{16}=(8-15a^8)(8+15a^8)\)
6. \(16a^2-24a+9=(4a-3)^2\)
7. \(121b^{8}-110b^4y+25y^2=(11b^4-5y)^2\)
8. \(225p^{6}-420p^3+196=(15p^3-14)^2\)
9. \(p^2-1=(p-1)(p+1)\)
10. \(-64a^2+225=(15-8a)(15+8a)\)
11. \(121a^2-286a+169=(11a-13)^2\)
12. \(64y^{8}-169=(8y^4+13)(8y^4-13)\)