Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144p^2-264p+121\)
2. \(s^2-16\)
3. \(-196x^2+169\)
4. \(a^2-25\)
5. \(-36p^2+1\)
6. \(9-25a^{10}\)
7. \(4p^2-25a^{8}\)
8. \(144s^{8}-25\)
9. \(121q^{8}+264q^4y+144y^2\)
10. \(1-256x^{12}\)
11. \(81q^{10}+36q^5+4\)
12. \(-225a^2+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144p^2-264p+121=(12p-11)^2\)
2. \(s^2-16=(s-4)(s+4)\)
3. \(-196x^2+169=(13-14x)(13+14x)\)
4. \(a^2-25=(a-5)(a+5)\)
5. \(-36p^2+1=(1-6p)(1+6p)\)
6. \(9-25a^{10}=(3-5a^5)(3+5a^5)\)
7. \(4p^2-25a^{8}=(2p-5a^4)(2p+5a^4)\)
8. \(144s^{8}-25=(12s^4+5)(12s^4-5)\)
9. \(121q^{8}+264q^4y+144y^2=(11q^4+12y)^2\)
10. \(1-256x^{12}=(1-16x^6)(1+16x^6)\)
11. \(81q^{10}+36q^5+4=(9q^5+2)^2\)
12. \(-225a^2+196=(14-15a)(14+15a)\)