Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169q^{6}+78q^3s+9s^2\)
2. \(x^2-6x+9\)
3. \(36s^{6}-132s^3+121\)
4. \(256y^{10}-49\)
5. \(p^2+10p+25\)
6. \(36q^2-121\)
7. \(q^2-64\)
8. \(121-64p^{8}\)
9. \(-144p^2+25\)
10. \(9s^2-64a^{6}\)
11. \(16a^{10}-81y^2\)
12. \(64-121q^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169q^{6}+78q^3s+9s^2=(13q^3+3s)^2\)
2. \(x^2-6x+9=(x-3)^2\)
3. \(36s^{6}-132s^3+121=(6s^3-11)^2\)
4. \(256y^{10}-49=(16y^5+7)(16y^5-7)\)
5. \(p^2+10p+25=(p+5)^2\)
6. \(36q^2-121=(6q+11)(6q-11)\)
7. \(q^2-64=(q+8)(q-8)\)
8. \(121-64p^{8}=(11-8p^4)(11+8p^4)\)
9. \(-144p^2+25=(5-12p)(5+12p)\)
10. \(9s^2-64a^{6}=(3s-8a^3)(3s+8a^3)\)
11. \(16a^{10}-81y^2=(4a^5+9y)(4a^5-9y)\)
12. \(64-121q^{12}=(8-11q^6)(8+11q^6)\)