Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25q^{8}+140q^4y+196y^2\)
2. \(25-4x^{8}\)
3. \(100x^2-121s^{10}\)
4. \(b^2-64\)
5. \(81-64a^{16}\)
6. \(225a^{10}-330a^5+121\)
7. \(196p^{10}-9\)
8. \(16a^{4}-81x^2\)
9. \(64a^{6}+48a^3b+9b^2\)
10. \(4x^2-121a^{14}\)
11. \(100p^{6}-60p^3+9\)
12. \(100q^{10}-121x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25q^{8}+140q^4y+196y^2=(5q^4+14y)^2\)
2. \(25-4x^{8}=(5-2x^4)(5+2x^4)\)
3. \(100x^2-121s^{10}=(10x-11s^5)(10x+11s^5)\)
4. \(b^2-64=(b+8)(b-8)\)
5. \(81-64a^{16}=(9-8a^8)(9+8a^8)\)
6. \(225a^{10}-330a^5+121=(15a^5-11)^2\)
7. \(196p^{10}-9=(14p^5+3)(14p^5-3)\)
8. \(16a^{4}-81x^2=(4a^2+9x)(4a^2-9x)\)
9. \(64a^{6}+48a^3b+9b^2=(8a^3+3b)^2\)
10. \(4x^2-121a^{14}=(2x-11a^7)(2x+11a^7)\)
11. \(100p^{6}-60p^3+9=(10p^3-3)^2\)
12. \(100q^{10}-121x^2=(10q^5+11x)(10q^5-11x)\)