Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-16\)
2. \(81x^2-121b^{14}\)
3. \(256b^{8}-81y^2\)
4. \(s^2+28s+196\)
5. \(121y^2+330y+225\)
6. \(9p^{6}-66p^3y+121y^2\)
7. \(225q^{6}+120q^3+16\)
8. \(169-100p^{6}\)
9. \(121x^{4}-81\)
10. \(225y^2-49\)
11. \(y^2-121\)
12. \(81a^{12}-4s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-16=(y-4)(y+4)\)
2. \(81x^2-121b^{14}=(9x-11b^7)(9x+11b^7)\)
3. \(256b^{8}-81y^2=(16b^4+9y)(16b^4-9y)\)
4. \(s^2+28s+196=(s+14)^2\)
5. \(121y^2+330y+225=(11y+15)^2\)
6. \(9p^{6}-66p^3y+121y^2=(3p^3-11y)^2\)
7. \(225q^{6}+120q^3+16=(15q^3+4)^2\)
8. \(169-100p^{6}=(13-10p^3)(13+10p^3)\)
9. \(121x^{4}-81=(11x^2+9)(11x^2-9)\)
10. \(225y^2-49=(15y+7)(15y-7)\)
11. \(y^2-121=(y-11)(y+11)\)
12. \(81a^{12}-4s^2=(9a^6+2s)(9a^6-2s)\)