Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256q^2-288q+81\)
2. \(196b^{6}+364b^3p+169p^2\)
3. \(256y^{16}-49\)
4. \(16p^{16}-121\)
5. \(196a^{4}+420a^2p+225p^2\)
6. \(256s^2-169\)
7. \(y^2+28y+196\)
8. \(-4x^2+225\)
9. \(81-121y^{8}\)
10. \(9b^{4}-30b^2s+25s^2\)
11. \(36q^{12}-25s^2\)
12. \(y^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256q^2-288q+81=(16q-9)^2\)
2. \(196b^{6}+364b^3p+169p^2=(14b^3+13p)^2\)
3. \(256y^{16}-49=(16y^8+7)(16y^8-7)\)
4. \(16p^{16}-121=(4p^8+11)(4p^8-11)\)
5. \(196a^{4}+420a^2p+225p^2=(14a^2+15p)^2\)
6. \(256s^2-169=(16s+13)(16s-13)\)
7. \(y^2+28y+196=(y+14)^2\)
8. \(-4x^2+225=(15-2x)(15+2x)\)
9. \(81-121y^{8}=(9-11y^4)(9+11y^4)\)
10. \(9b^{4}-30b^2s+25s^2=(3b^2-5s)^2\)
11. \(36q^{12}-25s^2=(6q^6+5s)(6q^6-5s)\)
12. \(y^2-64=(y-8)(y+8)\)