Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-169\)
2. \(169-16b^{12}\)
3. \(a^2+18a+81\)
4. \(256s^2-81\)
5. \(256s^{4}+288s^2+81\)
6. \(9p^2-100a^{14}\)
7. \(a^2+30a+225\)
8. \(256p^2-1\)
9. \(-100p^2+169\)
10. \(9b^2-121a^{8}\)
11. \(121p^{4}-220p^2+100\)
12. \(b^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-169=(s-13)(s+13)\)
2. \(169-16b^{12}=(13-4b^6)(13+4b^6)\)
3. \(a^2+18a+81=(a+9)^2\)
4. \(256s^2-81=(16s+9)(16s-9)\)
5. \(256s^{4}+288s^2+81=(16s^2+9)^2\)
6. \(9p^2-100a^{14}=(3p-10a^7)(3p+10a^7)\)
7. \(a^2+30a+225=(a+15)^2\)
8. \(256p^2-1=(16p+1)(16p-1)\)
9. \(-100p^2+169=(13-10p)(13+10p)\)
10. \(9b^2-121a^{8}=(3b-11a^4)(3b+11a^4)\)
11. \(121p^{4}-220p^2+100=(11p^2-10)^2\)
12. \(b^2-169=(b+13)(b-13)\)