Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+30s+225\)
2. \(144b^2+24b+1\)
3. \(1-36q^{12}\)
4. \(64p^2-9a^{14}\)
5. \(64y^{8}-80y^4+25\)
6. \(144s^{10}-168s^5+49\)
7. \(16p^{6}+40p^3+25\)
8. \(144s^{14}-121x^2\)
9. \(144p^{6}-1\)
10. \(256q^{6}+96q^3x+9x^2\)
11. \(144p^{8}-264p^4y+121y^2\)
12. \(-16y^2+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+30s+225=(s+15)^2\)
2. \(144b^2+24b+1=(12b+1)^2\)
3. \(1-36q^{12}=(1-6q^6)(1+6q^6)\)
4. \(64p^2-9a^{14}=(8p-3a^7)(8p+3a^7)\)
5. \(64y^{8}-80y^4+25=(8y^4-5)^2\)
6. \(144s^{10}-168s^5+49=(12s^5-7)^2\)
7. \(16p^{6}+40p^3+25=(4p^3+5)^2\)
8. \(144s^{14}-121x^2=(12s^7+11x)(12s^7-11x)\)
9. \(144p^{6}-1=(12p^3+1)(12p^3-1)\)
10. \(256q^{6}+96q^3x+9x^2=(16q^3+3x)^2\)
11. \(144p^{8}-264p^4y+121y^2=(12p^4-11y)^2\)
12. \(-16y^2+81=(9-4y)(9+4y)\)