Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196p^{4}+364p^2x+169x^2\)
2. \(a^2-1\)
3. \(9x^2-256q^{12}\)
4. \(36a^2+132a+121\)
5. \(64q^2+144q+81\)
6. \(36a^2-25\)
7. \(64y^{4}-80y^2+25\)
8. \(x^2-196\)
9. \(s^2-26s+169\)
10. \(81a^2-234a+169\)
11. \(169b^2+26b+1\)
12. \(y^2-14y+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196p^{4}+364p^2x+169x^2=(14p^2+13x)^2\)
2. \(a^2-1=(a-1)(a+1)\)
3. \(9x^2-256q^{12}=(3x-16q^6)(3x+16q^6)\)
4. \(36a^2+132a+121=(6a+11)^2\)
5. \(64q^2+144q+81=(8q+9)^2\)
6. \(36a^2-25=(6a+5)(6a-5)\)
7. \(64y^{4}-80y^2+25=(8y^2-5)^2\)
8. \(x^2-196=(x-14)(x+14)\)
9. \(s^2-26s+169=(s-13)^2\)
10. \(81a^2-234a+169=(9a-13)^2\)
11. \(169b^2+26b+1=(13b+1)^2\)
12. \(y^2-14y+49=(y-7)^2\)