Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4p^2-81\)
2. \(64p^{6}-25\)
3. \(y^2-2y+1\)
4. \(81y^2-100\)
5. \(9b^{10}+60b^5s+100s^2\)
6. \(4a^2+36a+81\)
7. \(4s^2-169q^{8}\)
8. \(121b^2-64\)
9. \(16q^2-p^{10}\)
10. \(225x^{8}-420x^4+196\)
11. \(144a^{6}-25b^2\)
12. \(25q^{10}-140q^5+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4p^2-81=(2p+9)(2p-9)\)
2. \(64p^{6}-25=(8p^3+5)(8p^3-5)\)
3. \(y^2-2y+1=(y-1)^2\)
4. \(81y^2-100=(9y+10)(9y-10)\)
5. \(9b^{10}+60b^5s+100s^2=(3b^5+10s)^2\)
6. \(4a^2+36a+81=(2a+9)^2\)
7. \(4s^2-169q^{8}=(2s-13q^4)(2s+13q^4)\)
8. \(121b^2-64=(11b+8)(11b-8)\)
9. \(16q^2-p^{10}=(4q-p^5)(4q+p^5)\)
10. \(225x^{8}-420x^4+196=(15x^4-14)^2\)
11. \(144a^{6}-25b^2=(12a^3+5b)(12a^3-5b)\)
12. \(25q^{10}-140q^5+196=(5q^5-14)^2\)