Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81q^2-72q+16\)
2. \(y^2-26y+169\)
3. \(y^2-144\)
4. \(81q^{4}+234q^2+169\)
5. \(36y^{6}-169\)
6. \(121q^2+66q+9\)
7. \(x^2-8x+16\)
8. \(4b^{16}-121s^2\)
9. \(225x^2-4b^{6}\)
10. \(225x^{8}-49\)
11. \(121-144a^{6}\)
12. \(16q^{14}-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81q^2-72q+16=(9q-4)^2\)
2. \(y^2-26y+169=(y-13)^2\)
3. \(y^2-144=(y-12)(y+12)\)
4. \(81q^{4}+234q^2+169=(9q^2+13)^2\)
5. \(36y^{6}-169=(6y^3+13)(6y^3-13)\)
6. \(121q^2+66q+9=(11q+3)^2\)
7. \(x^2-8x+16=(x-4)^2\)
8. \(4b^{16}-121s^2=(2b^8+11s)(2b^8-11s)\)
9. \(225x^2-4b^{6}=(15x-2b^3)(15x+2b^3)\)
10. \(225x^{8}-49=(15x^4+7)(15x^4-7)\)
11. \(121-144a^{6}=(11-12a^3)(11+12a^3)\)
12. \(16q^{14}-9=(4q^7+3)(4q^7-3)\)