Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225s^{12}-121\)
2. \(196x^{4}-81y^2\)
3. \(144a^{4}+120a^2q+25q^2\)
4. \(100p^{8}+220p^4+121\)
5. \(225b^2-4a^{10}\)
6. \(x^2+6x+9\)
7. \(p^2-49\)
8. \(49q^2-84q+36\)
9. \(144y^{4}-264y^2+121\)
10. \(81-100y^{16}\)
11. \(25s^2-9a^{10}\)
12. \(9b^{14}-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225s^{12}-121=(15s^6+11)(15s^6-11)\)
2. \(196x^{4}-81y^2=(14x^2+9y)(14x^2-9y)\)
3. \(144a^{4}+120a^2q+25q^2=(12a^2+5q)^2\)
4. \(100p^{8}+220p^4+121=(10p^4+11)^2\)
5. \(225b^2-4a^{10}=(15b-2a^5)(15b+2a^5)\)
6. \(x^2+6x+9=(x+3)^2\)
7. \(p^2-49=(p+7)(p-7)\)
8. \(49q^2-84q+36=(7q-6)^2\)
9. \(144y^{4}-264y^2+121=(12y^2-11)^2\)
10. \(81-100y^{16}=(9-10y^8)(9+10y^8)\)
11. \(25s^2-9a^{10}=(5s-3a^5)(5s+3a^5)\)
12. \(9b^{14}-25=(3b^7+5)(3b^7-5)\)