Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(1-25b^{8}\)
2. \(-121a^2+81\)
3. \(64s^{8}-81\)
4. \(256s^{4}-288s^2x+81x^2\)
5. \(81s^{6}-36s^3y+4y^2\)
6. \(81a^{4}-196\)
7. \(b^2-9\)
8. \(a^2-49\)
9. \(81p^{4}-72p^2x+16x^2\)
10. \(25b^{4}+60b^2+36\)
11. \(36y^2-1\)
12. \(1-36q^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(1-25b^{8}=(1-5b^4)(1+5b^4)\)
2. \(-121a^2+81=(9-11a)(9+11a)\)
3. \(64s^{8}-81=(8s^4+9)(8s^4-9)\)
4. \(256s^{4}-288s^2x+81x^2=(16s^2-9x)^2\)
5. \(81s^{6}-36s^3y+4y^2=(9s^3-2y)^2\)
6. \(81a^{4}-196=(9a^2+14)(9a^2-14)\)
7. \(b^2-9=(b+3)(b-3)\)
8. \(a^2-49=(a+7)(a-7)\)
9. \(81p^{4}-72p^2x+16x^2=(9p^2-4x)^2\)
10. \(25b^{4}+60b^2+36=(5b^2+6)^2\)
11. \(36y^2-1=(6y+1)(6y-1)\)
12. \(1-36q^{6}=(1-6q^3)(1+6q^3)\)