Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81a^2-49\)
2. \(81-64p^{10}\)
3. \(196-225b^{12}\)
4. \(225a^{14}-196s^2\)
5. \(49s^{10}-25\)
6. \(p^2-1\)
7. \(49-100q^{6}\)
8. \(64x^{8}+16x^4y+1y^2\)
9. \(225x^{4}-16\)
10. \(1-9a^{4}\)
11. \(256s^{6}-480s^3+225\)
12. \(-64s^2+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81a^2-49=(9a+7)(9a-7)\)
2. \(81-64p^{10}=(9-8p^5)(9+8p^5)\)
3. \(196-225b^{12}=(14-15b^6)(14+15b^6)\)
4. \(225a^{14}-196s^2=(15a^7+14s)(15a^7-14s)\)
5. \(49s^{10}-25=(7s^5+5)(7s^5-5)\)
6. \(p^2-1=(p-1)(p+1)\)
7. \(49-100q^{6}=(7-10q^3)(7+10q^3)\)
8. \(64x^{8}+16x^4y+1y^2=(8x^4+y)^2\)
9. \(225x^{4}-16=(15x^2+4)(15x^2-4)\)
10. \(1-9a^{4}=(1-3a^2)(1+3a^2)\)
11. \(256s^{6}-480s^3+225=(16s^3-15)^2\)
12. \(-64s^2+1=(1-8s)(1+8s)\)