Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16b^{8}+104b^4s+169s^2\)
2. \(36-25p^{10}\)
3. \(81p^{10}+72p^5x+16x^2\)
4. \(121b^2-1\)
5. \(196q^{4}+252q^2+81\)
6. \(121-225a^{6}\)
7. \(81y^2-1\)
8. \(81-16y^{12}\)
9. \(-81a^2+16\)
10. \(36s^2-49q^{12}\)
11. \(-256s^2+225\)
12. \(144s^{6}-168s^3x+49x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16b^{8}+104b^4s+169s^2=(4b^4+13s)^2\)
2. \(36-25p^{10}=(6-5p^5)(6+5p^5)\)
3. \(81p^{10}+72p^5x+16x^2=(9p^5+4x)^2\)
4. \(121b^2-1=(11b+1)(11b-1)\)
5. \(196q^{4}+252q^2+81=(14q^2+9)^2\)
6. \(121-225a^{6}=(11-15a^3)(11+15a^3)\)
7. \(81y^2-1=(9y+1)(9y-1)\)
8. \(81-16y^{12}=(9-4y^6)(9+4y^6)\)
9. \(-81a^2+16=(4-9a)(4+9a)\)
10. \(36s^2-49q^{12}=(6s-7q^6)(6s+7q^6)\)
11. \(-256s^2+225=(15-16s)(15+16s)\)
12. \(144s^{6}-168s^3x+49x^2=(12s^3-7x)^2\)