Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144p^{16}-121q^2\)
2. \(-225y^2+169\)
3. \(y^2+16y+64\)
4. \(b^2-196\)
5. \(81-121a^{10}\)
6. \(4q^2+60q+225\)
7. \(100p^2-180p+81\)
8. \(25-36s^{16}\)
9. \(169q^{8}+364q^4+196\)
10. \(-16x^2+121\)
11. \(144p^{10}-168p^5q+49q^2\)
12. \(81x^{10}-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144p^{16}-121q^2=(12p^8+11q)(12p^8-11q)\)
2. \(-225y^2+169=(13-15y)(13+15y)\)
3. \(y^2+16y+64=(y+8)^2\)
4. \(b^2-196=(b-14)(b+14)\)
5. \(81-121a^{10}=(9-11a^5)(9+11a^5)\)
6. \(4q^2+60q+225=(2q+15)^2\)
7. \(100p^2-180p+81=(10p-9)^2\)
8. \(25-36s^{16}=(5-6s^8)(5+6s^8)\)
9. \(169q^{8}+364q^4+196=(13q^4+14)^2\)
10. \(-16x^2+121=(11-4x)(11+4x)\)
11. \(144p^{10}-168p^5q+49q^2=(12p^5-7q)^2\)
12. \(81x^{10}-100=(9x^5+10)(9x^5-10)\)