Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-1\)
2. \(s^2-196\)
3. \(-100s^2+121\)
4. \(-16s^2+121\)
5. \(q^2-9\)
6. \(9q^{6}-84q^3y+196y^2\)
7. \(225b^{10}-210b^5+49\)
8. \(169-64y^{4}\)
9. \(16y^{8}-56y^4+49\)
10. \(-4b^2+1\)
11. \(4a^2-25\)
12. \(144q^{8}-264q^4+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-1=(s-1)(s+1)\)
2. \(s^2-196=(s-14)(s+14)\)
3. \(-100s^2+121=(11-10s)(11+10s)\)
4. \(-16s^2+121=(11-4s)(11+4s)\)
5. \(q^2-9=(q+3)(q-3)\)
6. \(9q^{6}-84q^3y+196y^2=(3q^3-14y)^2\)
7. \(225b^{10}-210b^5+49=(15b^5-7)^2\)
8. \(169-64y^{4}=(13-8y^2)(13+8y^2)\)
9. \(16y^{8}-56y^4+49=(4y^4-7)^2\)
10. \(-4b^2+1=(1-2b)(1+2b)\)
11. \(4a^2-25=(2a+5)(2a-5)\)
12. \(144q^{8}-264q^4+121=(12q^4-11)^2\)