Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121y^2-196b^{14}\)
2. \(81a^{8}-4q^2\)
3. \(b^2-64\)
4. \(256q^{6}+32q^3s+1s^2\)
5. \(169p^{6}+52p^3+4\)
6. \(16p^{6}+120p^3y+225y^2\)
7. \(p^2-16p+64\)
8. \(a^2-36\)
9. \(x^2-196\)
10. \(169y^2-9p^{4}\)
11. \(144x^{16}-121\)
12. \(p^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121y^2-196b^{14}=(11y-14b^7)(11y+14b^7)\)
2. \(81a^{8}-4q^2=(9a^4+2q)(9a^4-2q)\)
3. \(b^2-64=(b+8)(b-8)\)
4. \(256q^{6}+32q^3s+1s^2=(16q^3+s)^2\)
5. \(169p^{6}+52p^3+4=(13p^3+2)^2\)
6. \(16p^{6}+120p^3y+225y^2=(4p^3+15y)^2\)
7. \(p^2-16p+64=(p-8)^2\)
8. \(a^2-36=(a+6)(a-6)\)
9. \(x^2-196=(x+14)(x-14)\)
10. \(169y^2-9p^{4}=(13y-3p^2)(13y+3p^2)\)
11. \(144x^{16}-121=(12x^8+11)(12x^8-11)\)
12. \(p^2-169=(p+13)(p-13)\)