Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25b^2+130b+169\)
2. \(121s^2-225q^{10}\)
3. \(s^2+14s+49\)
4. \(196b^{10}-308b^5x+121x^2\)
5. \(49s^{4}+182s^2+169\)
6. \(81a^{10}-144a^5s+64s^2\)
7. \(25p^2-20p+4\)
8. \(81-4b^{12}\)
9. \(81a^{10}-72a^5s+16s^2\)
10. \(q^2-100\)
11. \(16s^{4}-24s^2+9\)
12. \(169q^{8}+260q^4+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25b^2+130b+169=(5b+13)^2\)
2. \(121s^2-225q^{10}=(11s-15q^5)(11s+15q^5)\)
3. \(s^2+14s+49=(s+7)^2\)
4. \(196b^{10}-308b^5x+121x^2=(14b^5-11x)^2\)
5. \(49s^{4}+182s^2+169=(7s^2+13)^2\)
6. \(81a^{10}-144a^5s+64s^2=(9a^5-8s)^2\)
7. \(25p^2-20p+4=(5p-2)^2\)
8. \(81-4b^{12}=(9-2b^6)(9+2b^6)\)
9. \(81a^{10}-72a^5s+16s^2=(9a^5-4s)^2\)
10. \(q^2-100=(q+10)(q-10)\)
11. \(16s^{4}-24s^2+9=(4s^2-3)^2\)
12. \(169q^{8}+260q^4+100=(13q^4+10)^2\)