Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-36\)
2. \(49s^{4}-169y^2\)
3. \(81y^2-16\)
4. \(144s^2-168s+49\)
5. \(81a^{10}-234a^5+169\)
6. \(121p^2-64\)
7. \(256b^{4}+32b^2s+1s^2\)
8. \(121x^2-81s^{14}\)
9. \(81s^2-196q^{16}\)
10. \(25b^2-140b+196\)
11. \(4p^{12}-121x^2\)
12. \(-36p^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-36=(y-6)(y+6)\)
2. \(49s^{4}-169y^2=(7s^2+13y)(7s^2-13y)\)
3. \(81y^2-16=(9y+4)(9y-4)\)
4. \(144s^2-168s+49=(12s-7)^2\)
5. \(81a^{10}-234a^5+169=(9a^5-13)^2\)
6. \(121p^2-64=(11p+8)(11p-8)\)
7. \(256b^{4}+32b^2s+1s^2=(16b^2+s)^2\)
8. \(121x^2-81s^{14}=(11x-9s^7)(11x+9s^7)\)
9. \(81s^2-196q^{16}=(9s-14q^8)(9s+14q^8)\)
10. \(25b^2-140b+196=(5b-14)^2\)
11. \(4p^{12}-121x^2=(2p^6+11x)(2p^6-11x)\)
12. \(-36p^2+121=(11-6p)(11+6p)\)