Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144s^2-25\)
2. \(100y^2+140y+49\)
3. \(a^2-144\)
4. \(1-225a^{12}\)
5. \(p^2+2p+1\)
6. \(169s^{8}-121x^2\)
7. \(121y^{8}-352y^4+256\)
8. \(16s^{4}+8s^2+1\)
9. \(196a^2-308a+121\)
10. \(25q^{4}+30q^2+9\)
11. \(100s^{14}-1\)
12. \(49s^{8}-140s^4+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144s^2-25=(12s+5)(12s-5)\)
2. \(100y^2+140y+49=(10y+7)^2\)
3. \(a^2-144=(a-12)(a+12)\)
4. \(1-225a^{12}=(1-15a^6)(1+15a^6)\)
5. \(p^2+2p+1=(p+1)^2\)
6. \(169s^{8}-121x^2=(13s^4+11x)(13s^4-11x)\)
7. \(121y^{8}-352y^4+256=(11y^4-16)^2\)
8. \(16s^{4}+8s^2+1=(4s^2+1)^2\)
9. \(196a^2-308a+121=(14a-11)^2\)
10. \(25q^{4}+30q^2+9=(5q^2+3)^2\)
11. \(100s^{14}-1=(10s^7+1)(10s^7-1)\)
12. \(49s^{8}-140s^4+100=(7s^4-10)^2\)