Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-225q^2+49\)
2. \(x^2-28x+196\)
3. \(16-121s^{16}\)
4. \(196y^2-169x^{14}\)
5. \(-144q^2+121\)
6. \(36s^2-60s+25\)
7. \(s^2-81\)
8. \(196p^{6}-9y^2\)
9. \(9b^{14}-64\)
10. \(x^2+2x+1\)
11. \(36-49s^{8}\)
12. \(36s^{8}-60s^4+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-225q^2+49=(7-15q)(7+15q)\)
2. \(x^2-28x+196=(x-14)^2\)
3. \(16-121s^{16}=(4-11s^8)(4+11s^8)\)
4. \(196y^2-169x^{14}=(14y-13x^7)(14y+13x^7)\)
5. \(-144q^2+121=(11-12q)(11+12q)\)
6. \(36s^2-60s+25=(6s-5)^2\)
7. \(s^2-81=(s-9)(s+9)\)
8. \(196p^{6}-9y^2=(14p^3+3y)(14p^3-3y)\)
9. \(9b^{14}-64=(3b^7+8)(3b^7-8)\)
10. \(x^2+2x+1=(x+1)^2\)
11. \(36-49s^{8}=(6-7s^4)(6+7s^4)\)
12. \(36s^{8}-60s^4+25=(6s^4-5)^2\)