Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-1\)
2. \(144s^{8}-264s^4y+121y^2\)
3. \(100p^{6}-260p^3s+169s^2\)
4. \(100b^{8}-60b^4+9\)
5. \(169x^2-156x+36\)
6. \(s^2-16s+64\)
7. \(256q^2-49\)
8. \(81x^2+72x+16\)
9. \(144q^2-169p^{14}\)
10. \(-16b^2+49\)
11. \(p^2-12p+36\)
12. \(-196x^2+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-1=(y+1)(y-1)\)
2. \(144s^{8}-264s^4y+121y^2=(12s^4-11y)^2\)
3. \(100p^{6}-260p^3s+169s^2=(10p^3-13s)^2\)
4. \(100b^{8}-60b^4+9=(10b^4-3)^2\)
5. \(169x^2-156x+36=(13x-6)^2\)
6. \(s^2-16s+64=(s-8)^2\)
7. \(256q^2-49=(16q+7)(16q-7)\)
8. \(81x^2+72x+16=(9x+4)^2\)
9. \(144q^2-169p^{14}=(12q-13p^7)(12q+13p^7)\)
10. \(-16b^2+49=(7-4b)(7+4b)\)
11. \(p^2-12p+36=(p-6)^2\)
12. \(-196x^2+25=(5-14x)(5+14x)\)