Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-225\)
2. \(y^2-36\)
3. \(121b^2-36\)
4. \(49q^{6}-36s^2\)
5. \(169x^2-156x+36\)
6. \(b^2-18b+81\)
7. \(64q^2-169a^{6}\)
8. \(64b^{4}-112b^2p+49p^2\)
9. \(p^2-20p+100\)
10. \(121-81y^{14}\)
11. \(-9b^2+1\)
12. \(144p^{8}-264p^4x+121x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-225=(q-15)(q+15)\)
2. \(y^2-36=(y+6)(y-6)\)
3. \(121b^2-36=(11b+6)(11b-6)\)
4. \(49q^{6}-36s^2=(7q^3+6s)(7q^3-6s)\)
5. \(169x^2-156x+36=(13x-6)^2\)
6. \(b^2-18b+81=(b-9)^2\)
7. \(64q^2-169a^{6}=(8q-13a^3)(8q+13a^3)\)
8. \(64b^{4}-112b^2p+49p^2=(8b^2-7p)^2\)
9. \(p^2-20p+100=(p-10)^2\)
10. \(121-81y^{14}=(11-9y^7)(11+9y^7)\)
11. \(-9b^2+1=(1-3b)(1+3b)\)
12. \(144p^{8}-264p^4x+121x^2=(12p^4-11x)^2\)