Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25a^{4}-70a^2b+49b^2\)
2. \(y^2-121\)
3. \(36s^{14}-121x^2\)
4. \(196q^2-81\)
5. \(4p^{16}-121\)
6. \(-256p^2+81\)
7. \(144s^{4}+120s^2y+25y^2\)
8. \(64b^{4}+112b^2+49\)
9. \(25-4a^{4}\)
10. \(225q^{14}-169y^2\)
11. \(49p^{6}-140p^3y+100y^2\)
12. \(169y^2-25s^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25a^{4}-70a^2b+49b^2=(5a^2-7b)^2\)
2. \(y^2-121=(y-11)(y+11)\)
3. \(36s^{14}-121x^2=(6s^7+11x)(6s^7-11x)\)
4. \(196q^2-81=(14q+9)(14q-9)\)
5. \(4p^{16}-121=(2p^8+11)(2p^8-11)\)
6. \(-256p^2+81=(9-16p)(9+16p)\)
7. \(144s^{4}+120s^2y+25y^2=(12s^2+5y)^2\)
8. \(64b^{4}+112b^2+49=(8b^2+7)^2\)
9. \(25-4a^{4}=(5-2a^2)(5+2a^2)\)
10. \(225q^{14}-169y^2=(15q^7+13y)(15q^7-13y)\)
11. \(49p^{6}-140p^3y+100y^2=(7p^3-10y)^2\)
12. \(169y^2-25s^{6}=(13y-5s^3)(13y+5s^3)\)