Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49a^2-1\)
2. \(144p^{16}-49s^2\)
3. \(196y^2+420y+225\)
4. \(4s^2-9q^{14}\)
5. \(-196q^2+169\)
6. \(100b^2+260b+169\)
7. \(-49s^2+81\)
8. \(b^2-2b+1\)
9. \(64y^{6}+240y^3+225\)
10. \(100q^{10}-180q^5x+81x^2\)
11. \(s^2-30s+225\)
12. \(169-196x^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49a^2-1=(7a+1)(7a-1)\)
2. \(144p^{16}-49s^2=(12p^8+7s)(12p^8-7s)\)
3. \(196y^2+420y+225=(14y+15)^2\)
4. \(4s^2-9q^{14}=(2s-3q^7)(2s+3q^7)\)
5. \(-196q^2+169=(13-14q)(13+14q)\)
6. \(100b^2+260b+169=(10b+13)^2\)
7. \(-49s^2+81=(9-7s)(9+7s)\)
8. \(b^2-2b+1=(b-1)^2\)
9. \(64y^{6}+240y^3+225=(8y^3+15)^2\)
10. \(100q^{10}-180q^5x+81x^2=(10q^5-9x)^2\)
11. \(s^2-30s+225=(s-15)^2\)
12. \(169-196x^{14}=(13-14x^7)(13+14x^7)\)