Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225a^2-420a+196\)
2. \(36p^{4}-25q^2\)
3. \(p^2-4p+4\)
4. \(p^2-26p+169\)
5. \(169x^2+286x+121\)
6. \(9s^2-256b^{8}\)
7. \(36y^2-25x^{4}\)
8. \(196b^{4}-252b^2+81\)
9. \(s^2-49\)
10. \(-144b^2+169\)
11. \(100x^2+220x+121\)
12. \(q^2-20q+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225a^2-420a+196=(15a-14)^2\)
2. \(36p^{4}-25q^2=(6p^2+5q)(6p^2-5q)\)
3. \(p^2-4p+4=(p-2)^2\)
4. \(p^2-26p+169=(p-13)^2\)
5. \(169x^2+286x+121=(13x+11)^2\)
6. \(9s^2-256b^{8}=(3s-16b^4)(3s+16b^4)\)
7. \(36y^2-25x^{4}=(6y-5x^2)(6y+5x^2)\)
8. \(196b^{4}-252b^2+81=(14b^2-9)^2\)
9. \(s^2-49=(s-7)(s+7)\)
10. \(-144b^2+169=(13-12b)(13+12b)\)
11. \(100x^2+220x+121=(10x+11)^2\)
12. \(q^2-20q+100=(q-10)^2\)