Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144a^2-264a+121\)
2. \(a^2-9\)
3. \(4-9a^{4}\)
4. \(-169y^2+196\)
5. \(100b^{10}-260b^5q+169q^2\)
6. \(p^2-2p+1\)
7. \(25-196a^{6}\)
8. \(36s^2+132s+121\)
9. \(36q^{10}+156q^5+169\)
10. \(9y^2-49a^{8}\)
11. \(144a^{10}-168a^5+49\)
12. \(9x^{4}-30x^2+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144a^2-264a+121=(12a-11)^2\)
2. \(a^2-9=(a-3)(a+3)\)
3. \(4-9a^{4}=(2-3a^2)(2+3a^2)\)
4. \(-169y^2+196=(14-13y)(14+13y)\)
5. \(100b^{10}-260b^5q+169q^2=(10b^5-13q)^2\)
6. \(p^2-2p+1=(p-1)^2\)
7. \(25-196a^{6}=(5-14a^3)(5+14a^3)\)
8. \(36s^2+132s+121=(6s+11)^2\)
9. \(36q^{10}+156q^5+169=(6q^5+13)^2\)
10. \(9y^2-49a^{8}=(3y-7a^4)(3y+7a^4)\)
11. \(144a^{10}-168a^5+49=(12a^5-7)^2\)
12. \(9x^{4}-30x^2+25=(3x^2-5)^2\)