Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225a^2+210a+49\)
2. \(16b^{10}+72b^5+81\)
3. \(-121b^2+196\)
4. \(121s^2-81\)
5. \(-81b^2+25\)
6. \(16-225x^{16}\)
7. \(81a^{6}-4b^2\)
8. \(49-9y^{6}\)
9. \(144a^{12}-49\)
10. \(16a^{10}-25x^2\)
11. \(36p^{16}-25y^2\)
12. \(144b^2-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225a^2+210a+49=(15a+7)^2\)
2. \(16b^{10}+72b^5+81=(4b^5+9)^2\)
3. \(-121b^2+196=(14-11b)(14+11b)\)
4. \(121s^2-81=(11s+9)(11s-9)\)
5. \(-81b^2+25=(5-9b)(5+9b)\)
6. \(16-225x^{16}=(4-15x^8)(4+15x^8)\)
7. \(81a^{6}-4b^2=(9a^3+2b)(9a^3-2b)\)
8. \(49-9y^{6}=(7-3y^3)(7+3y^3)\)
9. \(144a^{12}-49=(12a^6+7)(12a^6-7)\)
10. \(16a^{10}-25x^2=(4a^5+5x)(4a^5-5x)\)
11. \(36p^{16}-25y^2=(6p^8+5y)(6p^8-5y)\)
12. \(144b^2-1=(12b+1)(12b-1)\)