Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169x^2-156x+36\)
2. \(x^2-1\)
3. \(9p^{16}-169x^2\)
4. \(169y^{8}-416y^4+256\)
5. \(169a^2+364a+196\)
6. \(144a^{6}+168a^3b+49b^2\)
7. \(25s^{6}-20s^3+4\)
8. \(y^2-121\)
9. \(a^2-25\)
10. \(196x^2-9\)
11. \(9x^2-256q^{8}\)
12. \(196p^{8}+252p^4+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169x^2-156x+36=(13x-6)^2\)
2. \(x^2-1=(x+1)(x-1)\)
3. \(9p^{16}-169x^2=(3p^8+13x)(3p^8-13x)\)
4. \(169y^{8}-416y^4+256=(13y^4-16)^2\)
5. \(169a^2+364a+196=(13a+14)^2\)
6. \(144a^{6}+168a^3b+49b^2=(12a^3+7b)^2\)
7. \(25s^{6}-20s^3+4=(5s^3-2)^2\)
8. \(y^2-121=(y+11)(y-11)\)
9. \(a^2-25=(a-5)(a+5)\)
10. \(196x^2-9=(14x+3)(14x-3)\)
11. \(9x^2-256q^{8}=(3x-16q^4)(3x+16q^4)\)
12. \(196p^{8}+252p^4+81=(14p^4+9)^2\)