Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-225\)
2. \(16p^{6}-49\)
3. \(4x^2+4x+1\)
4. \(9b^{8}-84b^4+196\)
5. \(-25x^2+36\)
6. \(36b^{4}-169p^2\)
7. \(9p^{14}-64\)
8. \(169q^2+78q+9\)
9. \(64-81a^{10}\)
10. \(9x^2-100b^{6}\)
11. \(100y^2+180y+81\)
12. \(y^2+28y+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-225=(y-15)(y+15)\)
2. \(16p^{6}-49=(4p^3+7)(4p^3-7)\)
3. \(4x^2+4x+1=(2x+1)^2\)
4. \(9b^{8}-84b^4+196=(3b^4-14)^2\)
5. \(-25x^2+36=(6-5x)(6+5x)\)
6. \(36b^{4}-169p^2=(6b^2+13p)(6b^2-13p)\)
7. \(9p^{14}-64=(3p^7+8)(3p^7-8)\)
8. \(169q^2+78q+9=(13q+3)^2\)
9. \(64-81a^{10}=(8-9a^5)(8+9a^5)\)
10. \(9x^2-100b^{6}=(3x-10b^3)(3x+10b^3)\)
11. \(100y^2+180y+81=(10y+9)^2\)
12. \(y^2+28y+196=(y+14)^2\)