Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4s^2+4s+1\)
2. \(81s^2+198s+121\)
3. \(225p^{12}-4y^2\)
4. \(64y^{4}-169\)
5. \(169y^{6}-390y^3+225\)
6. \(16p^2+72p+81\)
7. \(64b^{8}-169s^2\)
8. \(-121x^2+49\)
9. \(64b^2+80b+25\)
10. \(121x^{8}-9\)
11. \(16a^{16}-225\)
12. \(81a^{4}-100s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4s^2+4s+1=(2s+1)^2\)
2. \(81s^2+198s+121=(9s+11)^2\)
3. \(225p^{12}-4y^2=(15p^6+2y)(15p^6-2y)\)
4. \(64y^{4}-169=(8y^2+13)(8y^2-13)\)
5. \(169y^{6}-390y^3+225=(13y^3-15)^2\)
6. \(16p^2+72p+81=(4p+9)^2\)
7. \(64b^{8}-169s^2=(8b^4+13s)(8b^4-13s)\)
8. \(-121x^2+49=(7-11x)(7+11x)\)
9. \(64b^2+80b+25=(8b+5)^2\)
10. \(121x^{8}-9=(11x^4+3)(11x^4-3)\)
11. \(16a^{16}-225=(4a^8+15)(4a^8-15)\)
12. \(81a^{4}-100s^2=(9a^2+10s)(9a^2-10s)\)