Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144a^{16}-25y^2\)
2. \(25a^{8}+60a^4b+36b^2\)
3. \(121q^{6}-1\)
4. \(225b^{10}-60b^5+4\)
5. \(25p^2-140p+196\)
6. \(100y^2-81q^{10}\)
7. \(121s^2+220s+100\)
8. \(36s^{4}-132s^2+121\)
9. \(9y^2-16s^{12}\)
10. \(b^2+22b+121\)
11. \(p^2-9\)
12. \(121s^{10}+176s^5+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144a^{16}-25y^2=(12a^8+5y)(12a^8-5y)\)
2. \(25a^{8}+60a^4b+36b^2=(5a^4+6b)^2\)
3. \(121q^{6}-1=(11q^3+1)(11q^3-1)\)
4. \(225b^{10}-60b^5+4=(15b^5-2)^2\)
5. \(25p^2-140p+196=(5p-14)^2\)
6. \(100y^2-81q^{10}=(10y-9q^5)(10y+9q^5)\)
7. \(121s^2+220s+100=(11s+10)^2\)
8. \(36s^{4}-132s^2+121=(6s^2-11)^2\)
9. \(9y^2-16s^{12}=(3y-4s^6)(3y+4s^6)\)
10. \(b^2+22b+121=(b+11)^2\)
11. \(p^2-9=(p+3)(p-3)\)
12. \(121s^{10}+176s^5+64=(11s^5+8)^2\)