Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-36y^2+121\)
2. \(49-121b^{12}\)
3. \(256s^{4}-288s^2+81\)
4. \(16a^{14}-1\)
5. \(4p^{4}+12p^2+9\)
6. \(a^2-81\)
7. \(196y^2-25\)
8. \(4a^{10}-49\)
9. \(49q^2-64\)
10. \(s^2-9\)
11. \(196p^2-81\)
12. \(16s^2-25a^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-36y^2+121=(11-6y)(11+6y)\)
2. \(49-121b^{12}=(7-11b^6)(7+11b^6)\)
3. \(256s^{4}-288s^2+81=(16s^2-9)^2\)
4. \(16a^{14}-1=(4a^7+1)(4a^7-1)\)
5. \(4p^{4}+12p^2+9=(2p^2+3)^2\)
6. \(a^2-81=(a+9)(a-9)\)
7. \(196y^2-25=(14y+5)(14y-5)\)
8. \(4a^{10}-49=(2a^5+7)(2a^5-7)\)
9. \(49q^2-64=(7q+8)(7q-8)\)
10. \(s^2-9=(s+3)(s-3)\)
11. \(196p^2-81=(14p+9)(14p-9)\)
12. \(16s^2-25a^{8}=(4s-5a^4)(4s+5a^4)\)