Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81-121x^{8}\)
2. \(64b^{10}-112b^5s+49s^2\)
3. \(64x^{6}-49\)
4. \(196b^{4}+420b^2+225\)
5. \(q^2-36\)
6. \(-25s^2+36\)
7. \(121y^2-25b^{8}\)
8. \(25s^{10}-90s^5+81\)
9. \(-4s^2+121\)
10. \(81s^{6}-49y^2\)
11. \(s^{14}-36y^2\)
12. \(225s^{4}-121x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81-121x^{8}=(9-11x^4)(9+11x^4)\)
2. \(64b^{10}-112b^5s+49s^2=(8b^5-7s)^2\)
3. \(64x^{6}-49=(8x^3+7)(8x^3-7)\)
4. \(196b^{4}+420b^2+225=(14b^2+15)^2\)
5. \(q^2-36=(q-6)(q+6)\)
6. \(-25s^2+36=(6-5s)(6+5s)\)
7. \(121y^2-25b^{8}=(11y-5b^4)(11y+5b^4)\)
8. \(25s^{10}-90s^5+81=(5s^5-9)^2\)
9. \(-4s^2+121=(11-2s)(11+2s)\)
10. \(81s^{6}-49y^2=(9s^3+7y)(9s^3-7y)\)
11. \(s^{14}-36y^2=(s^7+6y)(s^7-6y)\)
12. \(225s^{4}-121x^2=(15s^2+11x)(15s^2-11x)\)