Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-196x^2+121\)
2. \(x^2-24x+144\)
3. \(s^2-26s+169\)
4. \(25x^2-64p^{14}\)
5. \(144p^{8}+264p^4+121\)
6. \(-225a^2+1\)
7. \(121a^{8}+88a^4p+16p^2\)
8. \(144p^{8}-264p^4+121\)
9. \(256p^{8}+480p^4s+225s^2\)
10. \(256b^{14}-225x^2\)
11. \(b^2+10b+25\)
12. \(9q^{4}+30q^2+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-196x^2+121=(11-14x)(11+14x)\)
2. \(x^2-24x+144=(x-12)^2\)
3. \(s^2-26s+169=(s-13)^2\)
4. \(25x^2-64p^{14}=(5x-8p^7)(5x+8p^7)\)
5. \(144p^{8}+264p^4+121=(12p^4+11)^2\)
6. \(-225a^2+1=(1-15a)(1+15a)\)
7. \(121a^{8}+88a^4p+16p^2=(11a^4+4p)^2\)
8. \(144p^{8}-264p^4+121=(12p^4-11)^2\)
9. \(256p^{8}+480p^4s+225s^2=(16p^4+15s)^2\)
10. \(256b^{14}-225x^2=(16b^7+15x)(16b^7-15x)\)
11. \(b^2+10b+25=(b+5)^2\)
12. \(9q^{4}+30q^2+25=(3q^2+5)^2\)