Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144x^2+168x+49\)
2. \(144p^{10}-49\)
3. \(81x^2-121\)
4. \(81q^{10}-169\)
5. \(121s^{8}-44s^4x+4x^2\)
6. \(49s^2-16b^{6}\)
7. \(9p^2-84p+196\)
8. \(196y^{4}-25\)
9. \(a^2+22a+121\)
10. \(-121q^2+144\)
11. \(p^2-36\)
12. \(225p^{6}-16s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144x^2+168x+49=(12x+7)^2\)
2. \(144p^{10}-49=(12p^5+7)(12p^5-7)\)
3. \(81x^2-121=(9x+11)(9x-11)\)
4. \(81q^{10}-169=(9q^5+13)(9q^5-13)\)
5. \(121s^{8}-44s^4x+4x^2=(11s^4-2x)^2\)
6. \(49s^2-16b^{6}=(7s-4b^3)(7s+4b^3)\)
7. \(9p^2-84p+196=(3p-14)^2\)
8. \(196y^{4}-25=(14y^2+5)(14y^2-5)\)
9. \(a^2+22a+121=(a+11)^2\)
10. \(-121q^2+144=(12-11q)(12+11q)\)
11. \(p^2-36=(p+6)(p-6)\)
12. \(225p^{6}-16s^2=(15p^3+4s)(15p^3-4s)\)