Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225-49p^{4}\)
2. \(9b^{8}-64\)
3. \(256s^{14}-49\)
4. \(81p^2-49\)
5. \(b^2-22b+121\)
6. \(169x^2-196\)
7. \(q^2-49\)
8. \(4p^2+4p+1\)
9. \(144q^{8}+24q^4+1\)
10. \(-169a^2+49\)
11. \(49b^2-64\)
12. \(-4p^2+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225-49p^{4}=(15-7p^2)(15+7p^2)\)
2. \(9b^{8}-64=(3b^4+8)(3b^4-8)\)
3. \(256s^{14}-49=(16s^7+7)(16s^7-7)\)
4. \(81p^2-49=(9p+7)(9p-7)\)
5. \(b^2-22b+121=(b-11)^2\)
6. \(169x^2-196=(13x+14)(13x-14)\)
7. \(q^2-49=(q+7)(q-7)\)
8. \(4p^2+4p+1=(2p+1)^2\)
9. \(144q^{8}+24q^4+1=(12q^4+1)^2\)
10. \(-169a^2+49=(7-13a)(7+13a)\)
11. \(49b^2-64=(7b+8)(7b-8)\)
12. \(-4p^2+225=(15-2p)(15+2p)\)