Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9a^2-169\)
2. \(4p^2-b^{6}\)
3. \(81s^2-16\)
4. \(-81p^2+100\)
5. \(169s^{10}-225y^2\)
6. \(9a^{10}-12a^5+4\)
7. \(121a^2-176a+64\)
8. \(36b^2-25\)
9. \(100y^2-49\)
10. \(s^2-26s+169\)
11. \(144x^{8}+24x^4+1\)
12. \(100x^{4}-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9a^2-169=(3a+13)(3a-13)\)
2. \(4p^2-b^{6}=(2p-b^3)(2p+b^3)\)
3. \(81s^2-16=(9s+4)(9s-4)\)
4. \(-81p^2+100=(10-9p)(10+9p)\)
5. \(169s^{10}-225y^2=(13s^5+15y)(13s^5-15y)\)
6. \(9a^{10}-12a^5+4=(3a^5-2)^2\)
7. \(121a^2-176a+64=(11a-8)^2\)
8. \(36b^2-25=(6b+5)(6b-5)\)
9. \(100y^2-49=(10y+7)(10y-7)\)
10. \(s^2-26s+169=(s-13)^2\)
11. \(144x^{8}+24x^4+1=(12x^4+1)^2\)
12. \(100x^{4}-9=(10x^2+3)(10x^2-3)\)