Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2+22q+121\)
2. \(49-36x^{16}\)
3. \(196s^2+420s+225\)
4. \(144y^{6}-168y^3+49\)
5. \(225y^{6}+30y^3+1\)
6. \(a^2-4a+4\)
7. \(144p^{12}-1\)
8. \(64a^{4}-112a^2+49\)
9. \(64-169q^{14}\)
10. \(9y^2-100\)
11. \(49s^2-84s+36\)
12. \(9p^2-49a^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2+22q+121=(q+11)^2\)
2. \(49-36x^{16}=(7-6x^8)(7+6x^8)\)
3. \(196s^2+420s+225=(14s+15)^2\)
4. \(144y^{6}-168y^3+49=(12y^3-7)^2\)
5. \(225y^{6}+30y^3+1=(15y^3+1)^2\)
6. \(a^2-4a+4=(a-2)^2\)
7. \(144p^{12}-1=(12p^6+1)(12p^6-1)\)
8. \(64a^{4}-112a^2+49=(8a^2-7)^2\)
9. \(64-169q^{14}=(8-13q^7)(8+13q^7)\)
10. \(9y^2-100=(3y+10)(3y-10)\)
11. \(49s^2-84s+36=(7s-6)^2\)
12. \(9p^2-49a^{8}=(3p-7a^4)(3p+7a^4)\)